Peter spent 18 of his money on balloons, 13 of the remaining money on a strudel and $18 on snacks. He had 12 of his money. How much money did he have at first?
| Balloons |
Remaining amount |
Total |
| 1x3 |
7x3 |
8x3 |
| |
Strudel |
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 strudel
= 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
=
12 x 24 u
= 12 u
Amount that Peter spent on snacks
= 14 u - 12 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Total amount that Peter had at first
= 24 u
= 24 x 9
= $216
Answer(s): $216
