Ivan spent 14 of his money on balloons, 15 of the remaining money on a cake and $10 on drinks. He had 12 of his money. How much money did he have at first?
| Balloons |
Remaining amount |
Total |
| 1x5 |
3x5 |
4x5 |
| |
Cake |
Drinks |
Left |
|
| |
1x3 |
4x3 |
|
| 5 u |
3 u |
12 u |
20 u |
Fraction of the amount that Ivan had left after spending on balloons
= 1 -
14 =
34 Fraction of the remaining amount that Ivan had left after spending on a cake
= 1 -
15 =
45 The remaining amount is the combined repeated identity. Make the remaining amount the same. LCM of 3 and 5 is 15.
Amount that Ivan had left
=
12 x 20 u
= 10 u
Amount that Ivan spent on drinks
= 12 u - 10 u
= 2 u
2 u = 10
1 u = 10 ÷ 2 = 5
Total amount that Ivan had at first
= 20 u
= 20 x 5
= $100
Answer(s): $100
