In a store, some toy masks and frisbees were on sale.
15 of the items were toy masks.
23 of the toy masks and 105 frisbees were sold. There were
16 of the items left in the store. How many toy masks and frisbees were there in the store at first?
|
Toy masks |
Frisbees |
Total |
Comparing toy masks and frisbees at first |
1x6 = 6 u |
4x6 = 24 u |
5x6 = 30 u |
Before |
3x2 = 6 u |
|
6x5 = 30 u |
Change |
- 2x2 = - 4 u |
- 105
|
- 5x5 = - 25 u |
After |
1x2 = 2 u |
3 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 6 is 30.
The number of toy masks at first is repeated. Make the number of toy masks the same. LCM of 6 and 3 is 6.
Number of frisbees left
= 5 u - 2 u
= 3 u
Number of frisbees sold
= 24 u - 3 u
= 21 u
21 u = 105
1 u = 105 ÷ 21 = 5
Number of toy masks and frisbees at first
= 30 u
= 30 x 5
= 150
Answer(s): 150