In a stall, some frisbees and jigsaw puzzles were on sale.
110 of the items were frisbees.
23 of the frisbees and 148 jigsaw puzzles were sold. There were
19 of the items left in the stall. How many frisbees and jigsaw puzzles were there in the stall at first?
|
Frisbees |
Jigsaw puzzles |
Total |
Comparing frisbees and jigsaw puzzles at first |
1x9 = 9 u |
9x9 = 81 u |
10x9 = 90 u |
Before |
3x3 = 9 u |
|
9x10 = 90 u |
Change |
- 2x3 = - 6 u |
- 148
|
- 8x10 = - 80 u |
After |
1x3 = 3 u |
7 u |
1x10 = 10 u |
The total number of toys at first is repeated. Make the total number of toys at first the same. LCM of 10 and 9 is 90.
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
= 10 u - 3 u
= 7 u
Number of jigsaw puzzles sold
= 81 u - 7 u
= 74 u
74 u = 148
1 u = 148 ÷ 74 = 2
Number of frisbees and jigsaw puzzles at first
= 90 u
= 90 x 2
= 180
Answer(s): 180