Betty and Penelope had equal amount of money. Each day, Betty spent $16 and Penelope spent $22. When Betty had $120 left, Penelope had
310 as much money left as Betty. How much money did the two girls have at first?
| |
Betty |
Penelope |
| Before |
16 u + 120 |
22 u + 36 |
| Change |
- 16 u |
- 22 u |
| After |
$120 |
$36 |
Amount that Penelope had left
=
310 x 120
= $36
The amount that Betty and Penelope had at first is the same.
22 u + 36 = 16 u + 120
22 u - 16 u = 120 - 36
6 u = 84
1 u = 84 ÷ 6 = 14
Amount that Betty had at first
= 16 u + 120
= 16 x 14 + 120
= 224 + 120
= $344
Total amount that both girls had at first
= 2 x 344
= $688
Answer(s): $688
