Rael spent 16 of his money on balloons, 16 of the remaining money on a swiss roll and $176 on drinks. He had 14 of his money. How much money did he have at first?
| Balloons |
Remaining amount |
Total |
| 1x6 |
5x6 |
6x6 |
| |
Swiss Roll |
Drinks |
Left |
|
| |
1x5 |
5x5 |
|
| 6 u |
5 u |
25 u |
36 u |
Fraction of the amount that Rael had left after spending on balloons
= 1 -
16 =
56 Fraction of the remaining amount that Rael had left after spending on a swiss roll
= 1 -
16 =
56 The remaining amount is the combined repeated identity. Make the remaining amount the same. LCM of 5 and 6 is 30.
Amount that Rael had left
=
14 x 36 u
= 9 u
Amount that Rael spent on drinks
= 25 u - 9 u
= 16 u
16 u = 176
1 u = 176 ÷ 16 = 11
Total amount that Rael had at first
= 36 u
= 36 x 11
= $396
Answer(s): $396
