Peter spent 17 of his money on balloons, 14 of the remaining money on a strudel and $12 on drinks. He had 12 of his money. How much money did he have at first?
Balloons |
Remaining amount |
Total |
1x2 |
6x2 |
7x2 |
|
Strudel |
Drinks |
Left |
|
|
1x3 |
3x3 |
|
2 u |
3 u |
9 u |
14 u |
Fraction of the amount that Peter had left after spending on balloons
= 1 -
17 =
67 Fraction of the remaining amount that Peter had left after spending on a strudel
= 1 -
14 =
34 The remaining amount is the combined repeated identity. Make the remaining amount the same. LCM of 6 and 4 is 12.
Amount that Peter had left
=
12 x 14 u
= 7 u
Amount that Peter spent on drinks
= 9 u - 7 u
= 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Total amount that Peter had at first
= 14 u
= 14 x 6
= $84
Answer(s): $84