Math / Algebra

Question71.20
Robert spends 8 hours making 5 pies. How long will it take him to make 15 pies? bottom

Studdy Solution

STEP 1

What is this asking? If Robert bakes at a steady pace, how long will it take him to make more pies? Watch out! Don't just multiply 8 hours by 3 because we're making 3 times the pies!
We need to figure out how long it takes to make one pie first.

STEP 2

1. Calculate time per pie
2. Calculate total time

STEP 3

Alright, so Robert makes $5$ pies in $8$ hours.
We want to find out how long it takes him to make just one pie.
To do that, we'll divide the total time by the number of pies.
Think of it like this: we're dividing the $8$ hours equally among the $5$ pies.

STEP 4

So, the time per pie is $\frac{8 \text{ hours}}{5 \text{ pies}} = \frac{8}{5} \text{ hours/pie} = 1.6 \text{ hours/pie}$ .
That means it takes Robert 1.6 hours to bake one delicious pie!

STEP 5

Now, we want to know how long it will take Robert to make $15$ pies.
We know it takes him $1.6$ hours to make one pie.
To find the total time, we'll multiply the time per pie by the number of pies we want to make.
It's like adding $1.6$ hours, fifteen times!

STEP 6

So, the total time is $1.6 \text{ hours/pie} \cdot 15 \text{ pies} = 24 \text{ hours}$ .

STEP 7

It will take Robert 24 hours to make $15$ pies.

Was this helpful?

Question71.20
Robert spends 8 hours making 5 pies. How long will it take him to make 15 pies? bottom

Studdy Solution

STEP 1

What is this asking? If Robert bakes at a steady pace, how long will it take him to make more pies? Watch out! Don't just multiply 8 hours by 3 because we're making 3 times the pies!
We need to figure out how long it takes to make one pie first.

STEP 2

1. Calculate time per pie
2. Calculate total time

STEP 3

Alright, so Robert makes $5$ pies in $8$ hours.
We want to find out how long it takes him to make just one pie.
To do that, we'll divide the total time by the number of pies.
Think of it like this: we're dividing the $8$ hours equally among the $5$ pies.

STEP 4

So, the time per pie is $\frac{8 \text{ hours}}{5 \text{ pies}} = \frac{8}{5} \text{ hours/pie} = 1.6 \text{ hours/pie}$ .
That means it takes Robert 1.6 hours to bake one delicious pie!

STEP 5

Now, we want to know how long it will take Robert to make $15$ pies.
We know it takes him $1.6$ hours to make one pie.
To find the total time, we'll multiply the time per pie by the number of pies we want to make.
It's like adding $1.6$ hours, fifteen times!

STEP 6

So, the total time is $1.6 \text{ hours/pie} \cdot 15 \text{ pies} = 24 \text{ hours}$ .

STEP 7

It will take Robert 24 hours to make $15$ pies.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question71.20Robert spends 8 hours making 5 pies. How long will it take him to make 15 pies? bottom

Studdy Solution

STEP 1

What is this asking? If Robert bakes at a steady pace, how long will it take him to make more pies? Watch out! Don't just multiply 8 hours by 3 because we're making 3 times the pies!We need to figure out how long it takes to make *one* pie first.

STEP 2

1. Calculate time per pie2. Calculate total time

STEP 3

Alright, so Robert makes 555 pies in 888 hours.We want to find out how long it takes him to make just *one* pie.To do that, we'll **divide** the total time by the number of pies.Think of it like this: we're dividing the 888 hours equally among the 555 pies.

STEP 4

So, the time per pie is 8 hours5 pies=85 hours/pie=1.6 hours/pie\frac{8 \text{ hours}}{5 \text{ pies}} = \frac{8}{5} \text{ hours/pie} = 1.6 \text{ hours/pie}5 pies8 hours​=58​ hours/pie=1.6 hours/pie.That means it takes Robert **1.6 hours** to bake one delicious pie!

STEP 5

Now, we want to know how long it will take Robert to make 151515 pies.We know it takes him 1.61.61.6 hours to make one pie.To find the **total time**, we'll **multiply** the time per pie by the number of pies we want to make.It's like adding 1.61.61.6 hours, fifteen times!

STEP 6

So, the total time is 1.6 hours/pie⋅15 pies=24 hours1.6 \text{ hours/pie} \cdot 15 \text{ pies} = 24 \text{ hours}1.6 hours/pie⋅15 pies=24 hours.

STEP 7

It will take Robert **24 hours** to make 151515 pies.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question71.20
Robert spends 8 hours making 5 pies. How long will it take him to make 15 pies? bottom

What is this asking? If Robert bakes at a steady pace, how long will it take him to make more pies? Watch out! Don't just multiply 8 hours by 3 because we're making 3 times the pies!
We need to figure out how long it takes to make one pie first.

1. Calculate time per pie
2. Calculate total time

Alright, so Robert makes $5$ pies in $8$ hours.
We want to find out how long it takes him to make just one pie.
To do that, we'll divide the total time by the number of pies.
Think of it like this: we're dividing the $8$ hours equally among the $5$ pies.

So, the time per pie is $\frac{8 \text{ hours}}{5 \text{ pies}} = \frac{8}{5} \text{ hours/pie} = 1.6 \text{ hours/pie}$ .
That means it takes Robert 1.6 hours to bake one delicious pie!

Now, we want to know how long it will take Robert to make $15$ pies.
We know it takes him $1.6$ hours to make one pie.
To find the total time, we'll multiply the time per pie by the number of pies we want to make.
It's like adding $1.6$ hours, fifteen times!

So, the total time is $1.6 \text{ hours/pie} \cdot 15 \text{ pies} = 24 \text{ hours}$ .

It will take Robert 24 hours to make $15$ pies.