In a store, some flying saucers and toy masks were on sale.
14 of the items were flying saucers.
23 of the flying saucers and 156 toy masks were sold. There were
19 of the items left in the store. How many flying saucers and toy masks were there in the store at first?
|
Flying saucers |
Toy masks |
Total |
Comparing flying saucers and toy masks at first |
1x9 = 9 u |
3x9 = 27 u |
4x9 = 36 u |
Before |
3x3 = 9 u |
|
9x4 = 36 u |
Change |
- 2x3 = - 6 u |
- 156
|
- 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 flying saucers at first is repeated. Make the number of flying saucers the same. LCM of 9 and 3 is 9.
Number of toy masks left
= 4 u - 3 u
= 1 u
Number of toy masks sold
= 27 u - 1 u
= 26 u
26 u = 156
1 u = 156 ÷ 26 = 6
Number of flying saucers and toy masks at first
= 36 u
= 36 x 6
= 216
Answer(s): 216