Question

Mitch lost

10
3
pounds in
5
7
of a week. Which complex fraction when simplified will compute the unit rate of pounds per week?

Answer 1

Question:

Mitch lost 10/3 pounds in 5/7 in a week. Which complex fraction, when simplified, will compute the unit rate of pounds per week?

A)10/3 over 5/7

B)10/3 over 7/5

C)3/10 over 5/7

D)5/7 over 10/3

Answer:

Option A

The unit rate of pounds per week is 10/3 over 5/7

Solution:

Given that,

Mitch lost
`(10)/(3)` pounds in
`(5)/(7)` of a week

We have to compute the unit rate of pounds per week

Unit rate means that number of pounds lost in 1 week

From given information,

`\text{Weight lost in } (5)/(7) \text{ of a week } = (10)/(3) \text{ pounds }`

So to find the number of pounds lost in 1 week, divide the total pounds lost (10/3) by the time in weeks (5/7)

`\text{Number of pounds lost in 1 week } = \frac{\text{pounds lost in} (5)/(7) \text{ week }}{(5)/(7) \text{ week }}`

`\text{Number of pounds lost in 1 week } = ((10)/(3))/((5)/(7))`

Thus unit unit is 10/3 over 5/7