QuestionFind how many men are needed to move $x$ boxes and how many of 680 bulbs are non-defective. Choose the correct option.

Studdy Solution

STEP 1

Assumptions1. The number of men and boxes have a direct relationship. More men can move more boxes in the same amount of time. . The number of defective light bulbs is a fixed ratio of the total number of bulbs.

STEP 2

For the first question, we can use the concept of direct proportion. If $m$ men can move500 boxes in one day, then the number of men needed to move $x$ boxes in one day is directly proportional to $x$ .
We can write this as $m500 = n x$ where $n$ is the number of men needed to move $x$ boxes.

STEP 3

olving the proportion for $n$ gives us $n = \frac{m x}{500}$

STEP 4

For the second question, we know that15 out of every300 light bulbs are defective. This means that285 out of every300 light bulbs are not defective.
We can write this as a proportion $285300 = n680$ where $n$ is the number of non-defective bulbs out of680.

STEP 5

olving the proportion for $n$ gives us $n = \frac{285 \times680}{300}$

STEP 6

Calculate the number of non-defective bulbs.
$n = \frac{285 \times680}{300} =646$

STEP 7

So, the answers to the questions area. $\frac{m x}{500}$ b.646Therefore, the correct option is a.

Was this helpful?

QuestionFind how many men are needed to move $x$ boxes and how many of 680 bulbs are non-defective. Choose the correct option.

Studdy Solution

STEP 1

Assumptions1. The number of men and boxes have a direct relationship. More men can move more boxes in the same amount of time. . The number of defective light bulbs is a fixed ratio of the total number of bulbs.

STEP 2

For the first question, we can use the concept of direct proportion. If $m$ men can move500 boxes in one day, then the number of men needed to move $x$ boxes in one day is directly proportional to $x$ .
We can write this as $m500 = n x$ where $n$ is the number of men needed to move $x$ boxes.

STEP 3

olving the proportion for $n$ gives us $n = \frac{m x}{500}$

STEP 4

For the second question, we know that15 out of every300 light bulbs are defective. This means that285 out of every300 light bulbs are not defective.
We can write this as a proportion $285300 = n680$ where $n$ is the number of non-defective bulbs out of680.

STEP 5

olving the proportion for $n$ gives us $n = \frac{285 \times680}{300}$

STEP 6

Calculate the number of non-defective bulbs.
$n = \frac{285 \times680}{300} =646$

STEP 7

So, the answers to the questions area. $\frac{m x}{500}$ b.646Therefore, the correct option is a.

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.

QuestionFind how many men are needed to move xxx boxes and how many of 680 bulbs are non-defective. Choose the correct option.

Studdy Solution

STEP 1

Assumptions1. The number of men and boxes have a direct relationship. More men can move more boxes in the same amount of time. . The number of defective light bulbs is a fixed ratio of the total number of bulbs.

STEP 2

STEP 3

olving the proportion for nnn gives usn=mx500n = \frac{m x}{500}n=500mx​

STEP 4

For the second question, we know that15 out of every300 light bulbs are defective. This means that285 out of every300 light bulbs are not defective.We can write this as a proportion285300=n680285300 = n680285300=n680where nnn is the number of non-defective bulbs out of680.

STEP 5

olving the proportion for nnn gives usn=285×680300n = \frac{285 \times680}{300}n=300285×680​

STEP 6

Calculate the number of non-defective bulbs.n=285×680300=646n = \frac{285 \times680}{300} =646n=300285×680​=646

STEP 7

So, the answers to the questions area. mx500\frac{m x}{500}500mx​ b.646Therefore, the correct option is a.

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.

QuestionFind how many men are needed to move $x$ boxes and how many of 680 bulbs are non-defective. Choose the correct option.

olving the proportion for $n$ gives us $n = \frac{m x}{500}$

For the second question, we know that15 out of every300 light bulbs are defective. This means that285 out of every300 light bulbs are not defective.
We can write this as a proportion $285300 = n680$ where $n$ is the number of non-defective bulbs out of680.

olving the proportion for $n$ gives us $n = \frac{285 \times680}{300}$

Calculate the number of non-defective bulbs.
$n = \frac{285 \times680}{300} =646$

So, the answers to the questions area. $\frac{m x}{500}$ b.646Therefore, the correct option is a.