Dylan spent 18 of his money on drinks, 16 of the remaining money on a cake and $152 on balloons. He had 13 of his money. How much money did he have at first?
Drinks |
Remaining amount |
Total |
1x6 |
7x6 |
8x6 |
|
Cake |
Balloons |
Left |
|
|
1x7 |
5x7 |
|
6 u |
7 u |
35 u |
48 u |
Fraction of the amount that Dylan had left after spending on drinks
= 1 -
18 =
78 Fraction of the remaining amount that Dylan 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 7 and 6 is 42.
Amount that Dylan had left
=
13 x 48 u
= 16 u
Amount that Dylan spent on balloons
= 35 u - 16 u
= 19 u
19 u = 152
1 u = 152 ÷ 19 = 8
Total amount that Dylan had at first
= 48 u
= 48 x 8
= $384
Answer(s): $384