In a shop, some toy rifles and toy cars were on sale.
15 of the items were toy rifles.
23 of the toy rifles and 282 toy cars were sold. There were
112 of the items left in the shop. How many toy rifles and toy cars were there in the shop at first?
| |
Toy rifles |
Toy cars |
Total |
Comparing toy rifles
and toy cars at first |
1x12 =
12 u |
4x12 =
48 u |
5x12 =
60 u |
| Before |
3x4 =
12 u |
|
12x5 =
60 u |
| Change |
- 2x4 =
- 8 u |
- 282
|
- 11x5 =
- 55 u |
| After |
1x4 =
4 u |
1 u |
1x5 =
5 u |
The total number of toys at first is repeated. Make the total number of toys at first the same. LCM of 5 and 12 is 60.
The number of toy rifles at first is repeated. Make the number of toy rifles the same. LCM of 12 and 3 is 12.
Number of toy cars left
= 5 u - 4 u
= 1 u
Number of toy cars sold
= 48 u - 1 u
= 47 u
47 u = 282
1 u = 282 ÷ 47 = 6
Number of toy rifles and toy cars at first
= 60 u
= 60 x 6
= 360
Answer(s): 360
