Penelope and Shiyun had equal amount of money. Each day, Penelope spent $19 and Shiyun spent $23. When Penelope had $120 left, Shiyun had
45 as much money left as Penelope. How much money did the two girls have at first?
| |
Penelope |
Shiyun |
| Before |
19 u + 120 |
23 u + 96 |
| Change |
- 19 u |
- 23 u |
| After |
$120 |
$96 |
Amount that Shiyun had left
=
45 x 120
= $96
The amount that Penelope and Shiyun had at first is the same.
23 u + 96 = 19 u + 120
23 u - 19 u = 120 - 96
4 u = 24
1 u = 24 ÷ 4 = 6
Amount that Penelope had at first
= 19 u + 120
= 19 x 6 + 120
= 114 + 120
= $234
Total amount that both girls had at first
= 2 x 234
= $468
Answer(s): $468
