Rael bought some coupons for a funfair. He used
25 of the coupons on games and
35 of the remainder on food. He bought another 68 coupons and had 30 more coupons than he had at first. How many coupons did he have at first?
| Games |
Remainder |
Bought |
Total |
2x5 =
10 u |
3x5 =
15 u |
|
5x5 =
25 u |
| |
Food |
Left |
|
|
| |
3x3 |
2x3 |
|
|
| 10 u |
9 u |
6 u |
68 |
25 u |
The remaining number of coupons before Rael bought another 68 coupons is repeated. Make the remaining number of coupons the same. LCM of 3 and 5 is 15.
Total number of coupons at first = 25 u
Total number of coupons in the end = 6 u + 68
Number of coupons left was 30 more than the number of coupons at first.
25 u + 30 = 6 u + 68
25 u - 6 u = 68 - 30
19 u = 38
1 u = 38 ÷ 19 = 2
Total number of coupons at first
= 25 u
= 25 x 2
= 50
Answer(s): 50
