Which fraction is a unit rate you can use to solve a ratio problem

A:27/1
B:7/5
C:1/27
D:3/4

Jamal is creating toys to sell. He is averaging 8 toys every 5 days. If he continues at this rate, how many days will it take to fill an order of 75? Round to the nearest whole number of days.

A: 10 days

B: 120 days

C: 375 days

D: 47 days

Ramon makes 33 donuts every 7 hours. Using a unit rate, determine how many whole donuts he would make in 5 hours. (1 point)
Responses

A: 1

B: 23

C: 165

D: 23.57

1 answer

1.

You can write any rate as a unit rate by reducing the fraction so it has a 1 as the denominator or second term.

27 / 1

A:1

2.

5 / 8 = 75 / x

Cross multiply.

5 x = 600

x = 600 / 5 = 120

B:120

3.

33 / 7 = x / 5

Cross multiply.

165 = 7 x

7 x = 165

x = 165 / 7 = 23.57

D:23.57