Archie spent 18 of his money on balloons, 14 of the remaining money on a pie and $55 on drinks. He had 12 of his money. How much money did he have at first?
| Balloons |
Remaining amount |
Total |
| 1x4 |
7x4 |
8x4 |
| |
Pie |
Drinks |
Left |
|
| |
1x7 |
3x7 |
|
| 4 u |
7 u |
21 u |
32 u |
Fraction of the amount that Archie had left after spending on balloons
= 1 -
18 =
78 Fraction of the remaining amount that Archie 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 7 and 4 is 28.
Amount that Archie had left
=
12 x 32 u
= 16 u
Amount that Archie spent on drinks
= 21 u - 16 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Total amount that Archie had at first
= 32 u
= 32 x 11
= $352
Answer(s): $352
