Peter spent 18 of his money on balloons, 13 of the remaining money on a pie and $72 on snacks. He had 14 of his money. How much money did he have at first?
Balloons |
Remaining amount |
Total |
1x3 |
7x3 |
8x3 |
|
Pie |
Snacks |
Left |
|
|
1x7 |
2x7 |
|
3 u |
7 u |
14 u |
24 u |
Fraction of the amount that Peter had left after spending on balloons
= 1 -
18 =
78 Fraction of the remaining amount that Peter had left after spending on a pie
= 1 -
13 =
23 The remaining amount is the combined repeated identity. Make the remaining amount the same. LCM of 7 and 3 is 21.
Amount that Peter had left
=
14 x 24 u
= 6 u
Amount that Peter spent on snacks
= 14 u - 6 u
= 8 u
8 u = 72
1 u = 72 ÷ 8 = 9
Total amount that Peter had at first
= 24 u
= 24 x 9
= $216
Answer(s): $216