In a shop, some jigsaw puzzles and toy rifles were on sale.
15 of the items were jigsaw puzzles.
13 of the jigsaw puzzles and 185 toy rifles were sold. There were
19 of the items left in the shop. How many jigsaw puzzles and toy rifles were there in the shop at first?
|
Jigsaw puzzles |
Toy rifles |
Total |
Comparing jigsaw puzzles and toy rifles at first |
1x9 = 9 u |
4x9 = 36 u |
5x9 = 45 u |
Before |
3x3 = 9 u |
|
9x5 = 45 u |
Change |
- 1x3 = - 3 u |
- 185
|
- 8x5 = - 40 u |
After |
2x3 = 6 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 9 is 45.
The number of jigsaw puzzles at first is repeated. Make the number of jigsaw puzzles the same. LCM of 9 and 3 is 9.
Number of toy rifles left
= 5 u - 6 u
= -1 u
Number of toy rifles sold
= 36 u - -1 u
= 37 u
37 u = 185
1 u = 185 ÷ 37 = 5
Number of jigsaw puzzles and toy rifles at first
= 45 u
= 45 x 5
= 225
Answer(s): 225