Michael spent 18 of his money on balloons, 16 of the remaining money on a strudel and $33 on drinks. He had 12 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 Michael had left after spending on balloons
= 1 -
18 =
78 Fraction of the remaining amount that Michael 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 Michael had left
=
12 x 48 u
= 24 u
Amount that Michael spent on drinks
= 35 u - 24 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
Total amount that Michael had at first
= 48 u
= 48 x 3
= $144
Answer(s): $144
