Sean spent 18 of his money on balloons, 13 of the remaining money on a cake and $16 on drinks. He had 14 of his money. How much money did he have at first?
| Balloons |
Remaining amount |
Total |
| 1x3 |
7x3 |
8x3 |
| |
Cake |
Drinks |
Left |
|
| |
1x7 |
2x7 |
|
| 3 u |
7 u |
14 u |
24 u |
Fraction of the amount that Sean had left after spending on balloons
= 1 -
18 =
78 Fraction of the remaining amount that Sean had left after spending on a cake
= 1 -
13 =
23 The remaining amount is the combined repeated identity. Make the remaining amount the same. LCM of 7 and 3 is 21.
Amount that Sean had left
=
14 x 24 u
= 6 u
Amount that Sean spent on drinks
= 14 u - 6 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Total amount that Sean had at first
= 24 u
= 24 x 2
= $48
Answer(s): $48
