Ken spent 16 of his money on drinks, 16 of the remaining money on a strudel and $156 on balloons. He had 13 of his money. How much money did he have at first?
| Drinks |
Remaining amount |
Total |
| 1x6 |
5x6 |
6x6 |
| |
Strudel |
Balloons |
Left |
|
| |
1x5 |
5x5 |
|
| 6 u |
5 u |
25 u |
36 u |
Fraction of the amount that Ken had left after spending on drinks
= 1 -
16 =
56 Fraction of the remaining amount that Ken had left after spending on a strudel
= 1 -
16 =
56 The remaining amount is the combined repeated identity. Make the remaining amount the same. LCM of 5 and 6 is 30.
Amount that Ken had left
=
13 x 36 u
= 12 u
Amount that Ken spent on balloons
= 25 u - 12 u
= 13 u
13 u = 156
1 u = 156 ÷ 13 = 12
Total amount that Ken had at first
= 36 u
= 36 x 12
= $432
Answer(s): $432
