In a shop, some toy cars and rubik's cubes were on sale.
14 of the items were toy cars.
23 of the toy cars and 234 rubik's cubes were sold. There were
19 of the items left in the shop. How many toy cars and rubik's cubes were there in the shop at first?
|
Toy cars |
Rubik's cubes |
Total |
Comparing toy cars 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 |
- 234
|
- 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 cars at first is repeated. Make the number of toy cars 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 = 234
1 u = 234 ÷ 26 = 9
Number of toy cars and rubik's cubes at first
= 36 u
= 36 x 9
= 324
Answer(s): 324