Luke spent 16 of his money on balloons, 14 of the remaining money on a strudel and $12 on snacks. He had 12 of his money. How much money did he have at first?
| Balloons |
Remaining amount |
Total |
| 1x4 |
5x4 |
6x4 |
| |
Strudel |
Snacks |
Left |
|
| |
1x5 |
3x5 |
|
| 4 u |
5 u |
15 u |
24 u |
Fraction of the amount that Luke had left after spending on balloons
= 1 -
16 =
56 Fraction of the remaining amount that Luke had left after spending on a strudel
= 1 -
14 =
34 The remaining amount is the combined repeated identity. Make the remaining amount the same. LCM of 5 and 4 is 20.
Amount that Luke had left
=
12 x 24 u
= 12 u
Amount that Luke spent on snacks
= 15 u - 12 u
= 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Total amount that Luke had at first
= 24 u
= 24 x 4
= $96
Answer(s): $96
