Math / Numbers & Operations

QuestionQuestion 67
A client's intake was the following: - $11 / 4$ cup of coffee $(1$ cup $=4 \mathrm{oz})=$ $\square$ mL - 4 oz cranberry juice = $\square$ mL - $11 / 2$ bowls of chicken broth $(1$ bowl $=8 \mathrm{oz})=$ $\square$ mL - $41 / 2$ glasses of water ( 1 glass $=6$ oz $)=$ $\square$ mL - The client voided urine as follows: $360 \mathrm{~mL}, 120 \mathrm{~mL}, 300 \mathrm{~mL}$ , and 225 mL
Calculate the client's intake and output in mL . a. Intake: $\square$ mL b. Output: $\square$ mL

Studdy Solution

STEP 1

What is this asking? We need to figure out how much liquid a client consumed and how much they… outputted, all in milliliters! Watch out! Don't mix up ounces and milliliters, and make sure to convert everything correctly!

STEP 2

1. Coffee Conversion
2. Cranberry Juice Conversion
3. Chicken Broth Conversion
4. Water Conversion
5. Total Intake Calculation
6. Total Output Calculation

STEP 3

Alright, first up, coffee!
The client drank $1 \frac{1}{4}$ cups, and each cup is $4$ oz.
So, that's $1 \frac{1}{4} \cdot 4$ oz of coffee.
Let's turn that mixed number into an improper fraction: $1 \frac{1}{4} = \frac{1 \cdot 4 + 1}{4} = \frac{5}{4}$ .

STEP 4

Now, multiply: $\frac{5}{4} \cdot 4 = \frac{5 \cdot 4}{4} = \frac{20}{4} = 5$ oz of coffee.
Since $1$ oz is about $30$ mL, we multiply by $30$ : $5 \cdot 30 = \textbf{150}$ mL.
Boom!

STEP 5

Cranberry juice time! $4$ oz of cranberry juice, straight up.
Multiply by $30$ to get milliliters: $4 \cdot 30 = \textbf{120}$ mL.
Easy peasy!

STEP 6

Chicken broth, here we come!
The client had $1 \frac{1}{2}$ bowls, and each bowl is $8$ oz.
So, that's $1 \frac{1}{2} \cdot 8$ oz.
Let's convert that mixed number: $1 \frac{1}{2} = \frac{1 \cdot 2 + 1}{2} = \frac{3}{2}$ .

STEP 7

Multiply it out: $\frac{3}{2} \cdot 8 = \frac{3 \cdot 8}{2} = \frac{24}{2} = 12$ oz of broth.
Now, convert to milliliters: $12 \cdot 30 = \textbf{360}$ mL.
Delicious!

STEP 8

Water, water everywhere! $4 \frac{1}{2}$ glasses, and each glass is $6$ oz.
That's $4 \frac{1}{2} \cdot 6$ oz.
Mixed number time: $4 \frac{1}{2} = \frac{4 \cdot 2 + 1}{2} = \frac{9}{2}$ .

STEP 9

Multiply: $\frac{9}{2} \cdot 6 = \frac{9 \cdot 6}{2} = \frac{54}{2} = 27$ oz of water.
To milliliters: $27 \cdot 30 = \textbf{810}$ mL.
Stay hydrated!

STEP 10

Let's add up all that liquid! $\textbf{150}$ mL (coffee) + $\textbf{120}$ mL (cranberry) + $\textbf{360}$ mL (broth) + $\textbf{810}$ mL (water) = $150 + 120 + 360 + 810 = 1440$ mL.
That's a total intake of 1440 mL!

STEP 11

Output time! $360$ mL + $120$ mL + $300$ mL + $225$ mL = $360 + 120 + 300 + 225 = 1005$ mL. Total output: 1005 mL.

STEP 12

a. Intake: $1440$ mL b. Output: $1005$ mL

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Studdy Solution

STEP 1

What is this asking? We need to figure out how much liquid a client consumed and how much they… outputted, all in milliliters! Watch out! Don't mix up ounces and milliliters, and make sure to convert everything correctly!

STEP 2

1. Coffee Conversion
2. Cranberry Juice Conversion
3. Chicken Broth Conversion
4. Water Conversion
5. Total Intake Calculation
6. Total Output Calculation

STEP 3

Alright, first up, coffee!
The client drank $1 \frac{1}{4}$ cups, and each cup is $4$ oz.
So, that's $1 \frac{1}{4} \cdot 4$ oz of coffee.
Let's turn that mixed number into an improper fraction: $1 \frac{1}{4} = \frac{1 \cdot 4 + 1}{4} = \frac{5}{4}$ .

STEP 4

Now, multiply: $\frac{5}{4} \cdot 4 = \frac{5 \cdot 4}{4} = \frac{20}{4} = 5$ oz of coffee.
Since $1$ oz is about $30$ mL, we multiply by $30$ : $5 \cdot 30 = \textbf{150}$ mL.
Boom!

STEP 5

Cranberry juice time! $4$ oz of cranberry juice, straight up.
Multiply by $30$ to get milliliters: $4 \cdot 30 = \textbf{120}$ mL.
Easy peasy!

STEP 6

Chicken broth, here we come!
The client had $1 \frac{1}{2}$ bowls, and each bowl is $8$ oz.
So, that's $1 \frac{1}{2} \cdot 8$ oz.
Let's convert that mixed number: $1 \frac{1}{2} = \frac{1 \cdot 2 + 1}{2} = \frac{3}{2}$ .

STEP 7

Multiply it out: $\frac{3}{2} \cdot 8 = \frac{3 \cdot 8}{2} = \frac{24}{2} = 12$ oz of broth.
Now, convert to milliliters: $12 \cdot 30 = \textbf{360}$ mL.
Delicious!

STEP 8

Water, water everywhere! $4 \frac{1}{2}$ glasses, and each glass is $6$ oz.
That's $4 \frac{1}{2} \cdot 6$ oz.
Mixed number time: $4 \frac{1}{2} = \frac{4 \cdot 2 + 1}{2} = \frac{9}{2}$ .

STEP 9

Multiply: $\frac{9}{2} \cdot 6 = \frac{9 \cdot 6}{2} = \frac{54}{2} = 27$ oz of water.
To milliliters: $27 \cdot 30 = \textbf{810}$ mL.
Stay hydrated!

STEP 10

Let's add up all that liquid! $\textbf{150}$ mL (coffee) + $\textbf{120}$ mL (cranberry) + $\textbf{360}$ mL (broth) + $\textbf{810}$ mL (water) = $150 + 120 + 360 + 810 = 1440$ mL.
That's a total intake of 1440 mL!

STEP 11

Output time! $360$ mL + $120$ mL + $300$ mL + $225$ mL = $360 + 120 + 300 + 225 = 1005$ mL. Total output: 1005 mL.

STEP 12

a. Intake: $1440$ mL b. Output: $1005$ mL

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Studdy Solution

STEP 1

What is this asking? We need to figure out how much liquid a client consumed and how much they… outputted, all in milliliters! Watch out! Don't mix up ounces and milliliters, and make sure to convert everything correctly!

STEP 2

1. Coffee Conversion2. Cranberry Juice Conversion3. Chicken Broth Conversion4. Water Conversion5. Total Intake Calculation6. Total Output Calculation

STEP 3

STEP 4

Now, multiply: 54⋅4=5⋅44=204=5\frac{5}{4} \cdot 4 = \frac{5 \cdot 4}{4} = \frac{20}{4} = 545​⋅4=45⋅4​=420​=5 oz of coffee.Since 111 oz is about 303030 mL, we multiply by 303030: 5⋅30=1505 \cdot 30 = \textbf{150}5⋅30=150 mL.Boom!

STEP 5

Cranberry juice time! 444 oz of cranberry juice, straight up.Multiply by 303030 to get milliliters: 4⋅30=1204 \cdot 30 = \textbf{120}4⋅30=120 mL.Easy peasy!

STEP 6

Chicken broth, here we come!The client had 1121 \frac{1}{2}121​ bowls, and each bowl is 888 oz.So, that's 112⋅81 \frac{1}{2} \cdot 8121​⋅8 oz.Let's convert that mixed number: 112=1⋅2+12=321 \frac{1}{2} = \frac{1 \cdot 2 + 1}{2} = \frac{3}{2}121​=21⋅2+1​=23​.

STEP 7

Multiply it out: 32⋅8=3⋅82=242=12\frac{3}{2} \cdot 8 = \frac{3 \cdot 8}{2} = \frac{24}{2} = 1223​⋅8=23⋅8​=224​=12 oz of broth.Now, convert to milliliters: 12⋅30=36012 \cdot 30 = \textbf{360}12⋅30=360 mL.Delicious!

STEP 8

Water, water everywhere! 4124 \frac{1}{2}421​ glasses, and each glass is 666 oz.That's 412⋅64 \frac{1}{2} \cdot 6421​⋅6 oz.Mixed number time: 412=4⋅2+12=924 \frac{1}{2} = \frac{4 \cdot 2 + 1}{2} = \frac{9}{2}421​=24⋅2+1​=29​.

STEP 9

Multiply: 92⋅6=9⋅62=542=27\frac{9}{2} \cdot 6 = \frac{9 \cdot 6}{2} = \frac{54}{2} = 2729​⋅6=29⋅6​=254​=27 oz of water.To milliliters: 27⋅30=81027 \cdot 30 = \textbf{810}27⋅30=810 mL.Stay hydrated!

STEP 10

Let's add up all that liquid! 150\textbf{150}150 mL (coffee) + 120\textbf{120}120 mL (cranberry) + 360\textbf{360}360 mL (broth) + 810\textbf{810}810 mL (water) = 150+120+360+810=1440150 + 120 + 360 + 810 = 1440150+120+360+810=1440 mL.That's a **total intake of 1440 mL**!

STEP 11

Output time! 360360360 mL + 120120120 mL + 300300300 mL + 225225225 mL = 360+120+300+225=1005360 + 120 + 300 + 225 = 1005360+120+300+225=1005 mL. **Total output: 1005 mL**.

STEP 12

a. Intake: 144014401440 mL b. Output: 100510051005 mL

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1. Coffee Conversion
2. Cranberry Juice Conversion
3. Chicken Broth Conversion
4. Water Conversion
5. Total Intake Calculation
6. Total Output Calculation

Now, multiply: $\frac{5}{4} \cdot 4 = \frac{5 \cdot 4}{4} = \frac{20}{4} = 5$ oz of coffee.
Since $1$ oz is about $30$ mL, we multiply by $30$ : $5 \cdot 30 = \textbf{150}$ mL.
Boom!

Cranberry juice time! $4$ oz of cranberry juice, straight up.
Multiply by $30$ to get milliliters: $4 \cdot 30 = \textbf{120}$ mL.
Easy peasy!

Chicken broth, here we come!
The client had $1 \frac{1}{2}$ bowls, and each bowl is $8$ oz.
So, that's $1 \frac{1}{2} \cdot 8$ oz.
Let's convert that mixed number: $1 \frac{1}{2} = \frac{1 \cdot 2 + 1}{2} = \frac{3}{2}$ .

Multiply it out: $\frac{3}{2} \cdot 8 = \frac{3 \cdot 8}{2} = \frac{24}{2} = 12$ oz of broth.
Now, convert to milliliters: $12 \cdot 30 = \textbf{360}$ mL.
Delicious!

Water, water everywhere! $4 \frac{1}{2}$ glasses, and each glass is $6$ oz.
That's $4 \frac{1}{2} \cdot 6$ oz.
Mixed number time: $4 \frac{1}{2} = \frac{4 \cdot 2 + 1}{2} = \frac{9}{2}$ .

Multiply: $\frac{9}{2} \cdot 6 = \frac{9 \cdot 6}{2} = \frac{54}{2} = 27$ oz of water.
To milliliters: $27 \cdot 30 = \textbf{810}$ mL.
Stay hydrated!

Let's add up all that liquid! $\textbf{150}$ mL (coffee) + $\textbf{120}$ mL (cranberry) + $\textbf{360}$ mL (broth) + $\textbf{810}$ mL (water) = $150 + 120 + 360 + 810 = 1440$ mL.
That's a total intake of 1440 mL!

Output time! $360$ mL + $120$ mL + $300$ mL + $225$ mL = $360 + 120 + 300 + 225 = 1005$ mL. Total output: 1005 mL.

a. Intake: $1440$ mL b. Output: $1005$ mL