Tim spent 18 of his money on snacks, 16 of the remaining money on a pie and $99 on balloons. He had 12 of his money. How much money did he have at first?
Snacks |
Remaining amount |
Total |
1x6 |
7x6 |
8x6 |
|
Pie |
Balloons |
Left |
|
|
1x7 |
5x7 |
|
6 u |
7 u |
35 u |
48 u |
Fraction of the amount that Tim had left after spending on snacks
= 1 -
18 =
78 Fraction of the remaining amount that Tim had left after spending on a pie
= 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 Tim had left
=
12 x 48 u
= 24 u
Amount that Tim spent on balloons
= 35 u - 24 u
= 11 u
11 u = 99
1 u = 99 ÷ 11 = 9
Total amount that Tim had at first
= 48 u
= 48 x 9
= $432
Answer(s): $432