Ryan spent 16 of his money on drinks, 14 of the remaining money on a strudel and $84 on balloons. He had 13 of his money. How much money did he have at first?
| Drinks |
Remaining amount |
Total |
| 1x4 |
5x4 |
6x4 |
| |
Strudel |
Balloons |
Left |
|
| |
1x5 |
3x5 |
|
| 4 u |
5 u |
15 u |
24 u |
Fraction of the amount that Ryan had left after spending on drinks
= 1 -
16 =
56 Fraction of the remaining amount that Ryan 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 Ryan had left
=
13 x 24 u
= 8 u
Amount that Ryan spent on balloons
= 15 u - 8 u
= 7 u
7 u = 84
1 u = 84 ÷ 7 = 12
Total amount that Ryan had at first
= 24 u
= 24 x 12
= $288
Answer(s): $288
