In a kiosk, some water guns and dolls were on sale.
15 of the items were water guns.
23 of the water guns and 63 dolls were sold. There were
16 of the items left in the kiosk. How many water guns and dolls were there in the kiosk at first?
|
Water guns |
Dolls |
Total |
Comparing water guns and dolls at first |
1x6 = 6 u |
4x6 = 24 u |
5x6 = 30 u |
Before |
3x2 = 6 u |
|
6x5 = 30 u |
Change |
- 2x2 = - 4 u |
- 63
|
- 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 water guns at first is repeated. Make the number of water guns the same. LCM of 6 and 3 is 6.
Number of dolls left
= 5 u - 2 u
= 3 u
Number of dolls sold
= 24 u - 3 u
= 21 u
21 u = 63
1 u = 63 ÷ 21 = 3
Number of water guns and dolls at first
= 30 u
= 30 x 3
= 90
Answer(s): 90