Japheth spent 16 of his money on balloons, 16 of the remaining money on a swiss roll and $70 on snacks. He had 12 of his money. How much money did he have at first?
Balloons |
Remaining amount |
Total |
1x6 |
5x6 |
6x6 |
|
Swiss Roll |
Snacks |
Left |
|
|
1x5 |
5x5 |
|
6 u |
5 u |
25 u |
36 u |
Fraction of the amount that Japheth had left after spending on balloons
= 1 -
16 =
56 Fraction of the remaining amount that Japheth had left after spending on a swiss roll
= 1 -
16 =
56 The remaining amount is the combined repeated identity. Make the remaining amount the same. LCM of 5 and 6 is 30.
Amount that Japheth had left
=
12 x 36 u
= 18 u
Amount that Japheth spent on snacks
= 25 u - 18 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Total amount that Japheth had at first
= 36 u
= 36 x 10
= $360
Answer(s): $360