Japheth bought some coupons for a funfair. He used
25 of the coupons on games and
38 of the remainder on food. He bought another 95 coupons and had 20 more coupons than he had at first. How many coupons did he have at first?
| Games |
Remainder |
Bought |
Total |
2x8 =
16 u |
3x8 =
24 u |
|
5x8 =
40 u |
| |
Food |
Left |
|
|
| |
3x3 |
5x3 |
|
|
| 16 u |
9 u |
15 u |
95 |
40 u |
The remaining number of coupons before Japheth bought another 95 coupons is repeated. Make the remaining number of coupons the same. LCM of 3 and 8 is 24.
Total number of coupons at first = 40 u
Total number of coupons in the end = 15 u + 95
Number of coupons left was 20 more than the number of coupons at first.
40 u + 20 = 15 u + 95
40 u - 15 u = 95 - 20
25 u = 75
1 u = 75 ÷ 25 = 3
Total number of coupons at first
= 40 u
= 40 x 3
= 120
Answer(s): 120
