Riordan spent 17 of his money on drinks, 14 of the remaining money on a pie and $16 on balloons. He had 12 of his money. How much money did he have at first?
Drinks |
Remaining amount |
Total |
1x2 |
6x2 |
7x2 |
|
Pie |
Balloons |
Left |
|
|
1x3 |
3x3 |
|
2 u |
3 u |
9 u |
14 u |
Fraction of the amount that Riordan had left after spending on drinks
= 1 -
17 =
67 Fraction of the remaining amount that Riordan had left after spending on a pie
= 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 Riordan had left
=
12 x 14 u
= 7 u
Amount that Riordan spent on balloons
= 9 u - 7 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Total amount that Riordan had at first
= 14 u
= 14 x 8
= $112
Answer(s): $112