Word problem help

Question

Ninety-one hours of overtime must be split amount for four workers. The two younger workers are to be assigned the same number of hours. The third worker is to be assigned twice as much as each of the younger workers. The fourth worker is to be assigned three times as much as each of the younger workers. How much overtime should be assigned to each worker?

Answer 1

The workers work

y, y, 2y, and 3y hours of overtime

 

2y+2y+3y=91

 

Solve for y

7y=91

y=13

 

The workers work

13, 13, 26, and 39 hours of overtime 

 

Check this adds to 91 hours 

Perfect

 

 

Answer 2

a: the number of overtime hours assigned to the first younger worker

b: the number of overtime hours assigned to the second younger worker

c: the number of overtime hours assigned to the third worker

d: the number of overtime hours assigned to the fourth worker

 

a+b+c+d=91

a=b

c=2a

d=3a

 

a+a+2a+3a=91

7a=91

a=13

 

a=13

b=13

c=26

d=39