In a store, some frisbees and jigsaw puzzles were on sale.
14 of the items were frisbees.
23 of the frisbees and 52 jigsaw puzzles were sold. There were
19 of the items left in the store. How many frisbees and jigsaw puzzles were there in the store at first?
|
Frisbees |
Jigsaw puzzles |
Total |
Comparing frisbees and jigsaw puzzles at first |
1x9 = 9 u |
3x9 = 27 u |
4x9 = 36 u |
Before |
3x3 = 9 u |
|
9x4 = 36 u |
Change |
- 2x3 = - 6 u |
- 52
|
- 8x4 = - 32 u |
After |
1x3 = 3 u |
1 u |
1x4 = 4 u |
The total number of toys at first is repeated. Make the total number of toys at first the same. LCM of 4 and 9 is 36.
The number of frisbees at first is repeated. Make the number of frisbees the same. LCM of 9 and 3 is 9.
Number of jigsaw puzzles left
= 4 u - 3 u
= 1 u
Number of jigsaw puzzles sold
= 27 u - 1 u
= 26 u
26 u = 52
1 u = 52 ÷ 26 = 2
Number of frisbees and jigsaw puzzles at first
= 36 u
= 36 x 2
= 72
Answer(s): 72