Sean spent 16 of his money on balloons, 16 of the remaining money on a cake and $32 on snacks. He had 14 of his money. How much money did he have at first?
Balloons |
Remaining amount |
Total |
1x6 |
5x6 |
6x6 |
|
Cake |
Snacks |
Left |
|
|
1x5 |
5x5 |
|
6 u |
5 u |
25 u |
36 u |
Fraction of the amount that Sean had left after spending on balloons
= 1 -
16 =
56 Fraction of the remaining amount that Sean 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 5 and 6 is 30.
Amount that Sean had left
=
14 x 36 u
= 9 u
Amount that Sean spent on snacks
= 25 u - 9 u
= 16 u
16 u = 32
1 u = 32 ÷ 16 = 2
Total amount that Sean had at first
= 36 u
= 36 x 2
= $72
Answer(s): $72