Question

Jill can answer 50 math questions every 20 minutes. How many questions can she answer in 12 minutes? How many math questions can she answer in 36 minutes?

Answer 1

In 12 minutes, She can answer 30 math questions.

In 36 minutes, She can answer 90 math questions.

Explanation:

Jill can answer 50 math questions every 20 minutes.

1)

How many questions can she answer in 12 minutes

Let (x) represent the number of questions she can answer in 12 minutes:

So, if 50 math question = 20 minutes

and (x) math question = 12 minutes

To solve for (x); we have:

(x) × 20 minutes = 50 math question × 12 minutes

(x) =
`(50*12)/(20)`

(x) =
`(600)/(20)`

(x) = 30 math questions

∴ In 12 minutes, She can answer 30 math questions.

2)

How many math questions can she answer in 36 minutes?

Let (y) represent the number of questions she can answer in 36 minutes:

So, if 50 math question = 20 minutes

and (y) math question = 36 minutes

To solve for (y); we have:

(y) × 20 minutes = 50 math question × 36 minutes

(y) =
`(50*36)/(20)`

(y) =
`(1800)/(20)`

(y) = 90 math questions.

∴ In 36 minutes, She can answer 90 math questions.

Answer 2

1: 30

2: 90

Explanation: