Liam spent 18 of his money on snacks, 15 of the remaining money on a pie and $56 on balloons. He had 12 of his money. How much money did he have at first?
| Snacks |
Remaining amount |
Total |
| 1x5 |
7x5 |
8x5 |
| |
Pie |
Balloons |
Left |
|
| |
1x7 |
4x7 |
|
| 5 u |
7 u |
28 u |
40 u |
Fraction of the amount that Liam had left after spending on snacks
= 1 -
18 =
78 Fraction of the remaining amount that Liam had left after spending on a pie
= 1 -
15 =
45 The remaining amount is the combined repeated identity. Make the remaining amount the same. LCM of 7 and 5 is 35.
Amount that Liam had left
=
12 x 40 u
= 20 u
Amount that Liam spent on balloons
= 28 u - 20 u
= 8 u
8 u = 56
1 u = 56 ÷ 8 = 7
Total amount that Liam had at first
= 40 u
= 40 x 7
= $280
Answer(s): $280
