Liam bought some coupons for a funfair. He used
25 of the coupons on food and
37 of the remainder on games. He bought another 81 coupons and had 12 more coupons than he had at first. How many coupons did he have at first?
| Food |
Remainder |
Bought |
Total |
2x7 =
14 u |
3x7 =
21 u |
|
5x7 =
35 u |
| |
Games |
Left |
|
|
| |
3x3 |
4x3 |
|
|
| 14 u |
9 u |
12 u |
81 |
35 u |
The remaining number of coupons before Liam bought another 81 coupons is repeated. Make the remaining number of coupons the same. LCM of 3 and 7 is 21.
Total number of coupons at first = 35 u
Total number of coupons in the end = 12 u + 81
Number of coupons left was 12 more than the number of coupons at first.
35 u + 12 = 12 u + 81
35 u - 12 u = 81 - 12
23 u = 69
1 u = 69 ÷ 23 = 3
Total number of coupons at first
= 35 u
= 35 x 3
= 105
Answer(s): 105
