Question

Horace is a professional hair stylist.

Let C represent the number of child haircuts and A represent the number of adult haircuts that Horace can give
within 7 hours
0.75C +1.25 A <7
Horace gave 5 child haircuts. How many adult haircuts at most can he give with the remaining time?​

Answer 1

2

Explanation:

0.75(5)+1.25(a)<7

3.75+1.25(a)<7

1.25(a)<3.25

a<2.6

therefore Horace can give 2.6 more haircuts but you can't do 2.6 of a haircut so with the remaining time he can do 2.

Answer 2

Horacio can cut the hair of 2 adults before the end of 7 hours

Explanation:

To find the number of haircuts that Horacio can make to adults in the time he has left, you must first replace in inequality the number of haircuts he made to children and then resolve the inequality.

1. First replace the number of child haircuts on the inequality:

0.75C +1.25 A <7

0.75(5)+1.25A<7

3.75+1.25A<7

2. Solve for A:

1.25A<7-3.75

1.25A<3.25

A<
`(3.25)/(1.25)`

A<2.6

Therefore Horacio can cut the hair of 2 adults before the end of 7 hours