Tommy bought some coupons for a funfair. He used
27 of the coupons on food and
37 of the remainder on games. He bought another 96 coupons and had 9 more coupons than he had at first. How many coupons did he have at first?
| Food |
Remainder |
Bought |
Total |
2x7 =
14 u |
5x7 =
35 u |
|
7x7 =
49 u |
| |
Games |
Left |
|
|
| |
3x5 |
4x5 |
|
|
| 14 u |
15 u |
20 u |
96 |
49 u |
The remaining number of coupons before Tommy bought another 96 coupons is repeated. Make the remaining number of coupons the same. LCM of 5 and 7 is 35.
Total number of coupons at first = 49 u
Total number of coupons in the end = 20 u + 96
Number of coupons left was 9 more than the number of coupons at first.
49 u + 9 = 20 u + 96
49 u - 20 u = 96 - 9
29 u = 87
1 u = 87 ÷ 29 = 3
Total number of coupons at first
= 49 u
= 49 x 3
= 147
Answer(s): 147
