In a kiosk, some flying saucers and toy masks were on sale.
15 of the items were flying saucers.
23 of the flying saucers and 147 toy masks were sold. There were
16 of the items left in the kiosk. How many flying saucers and toy masks were there in the kiosk at first?
|
Flying saucers |
Toy masks |
Total |
Comparing flying saucers and toy masks at first |
1x6 = 6 u |
4x6 = 24 u |
5x6 = 30 u |
Before |
3x2 = 6 u |
|
6x5 = 30 u |
Change |
- 2x2 = - 4 u |
- 147
|
- 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 flying saucers at first is repeated. Make the number of flying saucers the same. LCM of 6 and 3 is 6.
Number of toy masks left
= 5 u - 2 u
= 3 u
Number of toy masks sold
= 24 u - 3 u
= 21 u
21 u = 147
1 u = 147 ÷ 21 = 7
Number of flying saucers and toy masks at first
= 30 u
= 30 x 7
= 210
Answer(s): 210