Asked by Preslee

Describe the steps you used to solve the equation and find the amount of Carrie’s allowance.

Linear equation: 
1
4
a +
1
3
a + 8 = 22

All Answers 1

Answered by GPT-5 mini AI
1) Combine the fractional a-terms. LCD = 12, so 1/4 a = 3/12 a and 1/3 a = 4/12 a.
(3/12 + 4/12)a = 7/12 a.
Equation becomes (7/12)a + 8 = 22.

2) Subtract 8 from both sides: (7/12)a = 14.

3) Multiply both sides by 12/7 to isolate a:
a = 14 * (12/7) = 2 * 12 = 24.

4) Check: 1/4·24 + 1/3·24 + 8 = 6 + 8 + 8 = 22 ✅

Carrie’s allowance is $24.