Tiffany and Mary had equal amount of money. Each day, Tiffany spent $19 and Mary spent $22. When Tiffany had $102 left, Mary had
12 as much money left as Tiffany. How much money did the two girls have at first?
| |
Tiffany |
Mary |
| Before |
19 u + 102 |
22 u + 51 |
| Change |
- 19 u |
- 22 u |
| After |
$102 |
$51 |
Amount that Mary had left
=
12 x 102
= $51
The amount that Tiffany and Mary had at first is the same.
22 u + 51 = 19 u + 102
22 u - 19 u = 102 - 51
3 u = 51
1 u = 51 ÷ 3 = 17
Amount that Tiffany had at first
= 19 u + 102
= 19 x 17 + 102
= 323 + 102
= $425
Total amount that both girls had at first
= 2 x 425
= $850
Answer(s): $850
