Brandon spent 15 of his money on balloons, 16 of the remaining money on a cake and $50 on snacks. He had 13 of his money. How much money did he have at first?
| Balloons |
Remaining amount |
Total |
| 1x3 |
4x3 |
5x3 |
| |
Cake |
Snacks |
Left |
|
| |
1x2 |
5x2 |
|
| 3 u |
2 u |
10 u |
15 u |
Fraction of the amount that Brandon had left after spending on balloons
= 1 -
15 =
45 Fraction of the remaining amount that Brandon had left after spending on a cake
= 1 -
16 =
56 The remaining amount is the combined repeated identity. Make the remaining amount the same. LCM of 4 and 6 is 12.
Amount that Brandon had left
=
13 x 15 u
= 5 u
Amount that Brandon spent on snacks
= 10 u - 5 u
= 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Total amount that Brandon had at first
= 15 u
= 15 x 10
= $150
Answer(s): $150
