Valen spent 16 of his money on drinks, 14 of the remaining money on a pie and $28 on balloons. He had 13 of his money. How much money did he have at first?
| Drinks |
Remaining amount |
Total |
| 1x4 |
5x4 |
6x4 |
| |
Pie |
Balloons |
Left |
|
| |
1x5 |
3x5 |
|
| 4 u |
5 u |
15 u |
24 u |
Fraction of the amount that Valen had left after spending on drinks
= 1 -
16 =
56 Fraction of the remaining amount that Valen had left after spending on a pie
= 1 -
14 =
34 The remaining amount is the combined repeated identity. Make the remaining amount the same. LCM of 5 and 4 is 20.
Amount that Valen had left
=
13 x 24 u
= 8 u
Amount that Valen spent on balloons
= 15 u - 8 u
= 7 u
7 u = 28
1 u = 28 ÷ 7 = 4
Total amount that Valen had at first
= 24 u
= 24 x 4
= $96
Answer(s): $96
