In a shop, some toy masks and rubik's cubes were on sale.
14 of the items were toy masks.
23 of the toy masks and 130 rubik's cubes were sold. There were
19 of the items left in the shop. How many toy masks and rubik's cubes were there in the shop at first?
|
Toy masks |
Rubik's cubes |
Total |
Comparing toy masks and rubik's cubes at first |
1x9 = 9 u |
3x9 = 27 u |
4x9 = 36 u |
Before |
3x3 = 9 u |
|
9x4 = 36 u |
Change |
- 2x3 = - 6 u |
- 130
|
- 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 toy masks at first is repeated. Make the number of toy masks the same. LCM of 9 and 3 is 9.
Number of rubik's cubes left
= 4 u - 3 u
= 1 u
Number of rubik's cubes sold
= 27 u - 1 u
= 26 u
26 u = 130
1 u = 130 ÷ 26 = 5
Number of toy masks and rubik's cubes at first
= 36 u
= 36 x 5
= 180
Answer(s): 180