Ethan bought some coupons for a funfair. He used
27 of the coupons on games and
58 of the remainder on food. He bought another 94 coupons and had 12 more coupons than he had at first. How many coupons did he have at first?
| Games |
Remainder |
Bought |
Total |
2x8 =
16 u |
5x8 =
40 u |
|
7x8 =
56 u |
| |
Food |
Left |
|
|
| |
5x5 |
3x5 |
|
|
| 16 u |
25 u |
15 u |
94 |
56 u |
The remaining number of coupons before Ethan bought another 94 coupons is repeated. Make the remaining number of coupons the same. LCM of 5 and 8 is 40.
Total number of coupons at first = 56 u
Total number of coupons in the end = 15 u + 94
Number of coupons left was 12 more than the number of coupons at first.
56 u + 12 = 15 u + 94
56 u - 15 u = 94 - 12
41 u = 82
1 u = 82 ÷ 41 = 2
Total number of coupons at first
= 56 u
= 56 x 2
= 112
Answer(s): 112
