Question

Carrie spent 

1
4
 of her allowance on a shirt, 
1
3
 of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?

Equation: 
1
4
a +
1
3
a + 8 = 22

Carrie’s allowance was $
.

Answer 1

24 dollars.

1/4 + 1/3 = 3/12 + 4/12 = 7/12

7/12 a + 8 = 22

7/12 a = 14

a = 14 x 12/7

a = 24 dollars