Jack spent 18 of his money on balloons, 16 of the remaining money on a strudel and $184 on drinks. He had 14 of his money. How much money did he have at first?
| Balloons |
Remaining amount |
Total |
| 1x6 |
7x6 |
8x6 |
| |
Strudel |
Drinks |
Left |
|
| |
1x7 |
5x7 |
|
| 6 u |
7 u |
35 u |
48 u |
Fraction of the amount that Jack had left after spending on balloons
= 1 -
18 =
78 Fraction of the remaining amount that Jack had left after spending on a strudel
= 1 -
16 =
56 The remaining amount is the combined repeated identity. Make the remaining amount the same. LCM of 7 and 6 is 42.
Amount that Jack had left
=
14 x 48 u
= 12 u
Amount that Jack spent on drinks
= 35 u - 12 u
= 23 u
23 u = 184
1 u = 184 ÷ 23 = 8
Total amount that Jack had at first
= 48 u
= 48 x 8
= $384
Answer(s): $384
