Unit Rates & Proportions Unit Test

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Question
Charla wants to cover a certain rectangular area of her driveway with a picture using chalk. If she completes 2/3 of the area in 1/2 hour, how long will it take her to complete the entire picture?(1 point)
of an hour

1 answer

To find out how long it will take Charla to complete the entire picture, we can set up a proportion using the information given.

Let's say it will take x hours for Charla to complete the entire picture.

We can set up the proportion as follows:

(2/3) / (1/2) = 1 / x

To solve for x, we can cross multiply:

(2/3) * x = (1/2) * 1

2x/3 = 1/2

Multiplying both sides of the equation by 6 (the least common multiple of 3 and 2), we get:

2x * 2 = 3 * 1

4x = 3

Dividing both sides of the equation by 4, we get:

x = 3/4

Therefore, it will take Charla 3/4 of an hour to complete the entire picture, or 45 minutes.