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

its 24 i took the quiz :)

Answer 2

$24

Explanation:

Let the total amount of her allowance = a

We are told that she spent $8 on belt

And the total amount she spent = $22

The Fraction of allowance spent on

Shirt = 1/4

Skirt = 1/3

Hence, the equation is given as:

1/4 × a + 1/3 × a + $8 = $22

Collect like terms

a/4 + a/3 = $22 - $8

a/4 + a/3 = $14

The Lowest Common Denominator = 12

3a + 4a/12 = $14

7a/12 = $14

Cross Multiply

7a = $14 × 12

7a = $168

a = $168/7

a = $24

Therefore, her total allowance = $24