Sam spent 14 of his money on balloons, 15 of the remaining money on a pie and $20 on snacks. He had 12 of his money. How much money did he have at first?
| Balloons |
Remaining amount |
Total |
| 1x5 |
3x5 |
4x5 |
| |
Pie |
Snacks |
Left |
|
| |
1x3 |
4x3 |
|
| 5 u |
3 u |
12 u |
20 u |
Fraction of the amount that Sam had left after spending on balloons
= 1 -
14 =
34 Fraction of the remaining amount that Sam 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 3 and 5 is 15.
Amount that Sam had left
=
12 x 20 u
= 10 u
Amount that Sam spent on snacks
= 12 u - 10 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Total amount that Sam had at first
= 20 u
= 20 x 10
= $200
Answer(s): $200
