In a store, some rubik's cubes and dolls were on sale.
14 of the items were rubik's cubes.
23 of the rubik's cubes and 208 dolls were sold. There were
19 of the items left in the store. How many rubik's cubes and dolls were there in the store at first?
|
Rubik's cubes |
Dolls |
Total |
Comparing rubik's cubes and dolls at first |
1x9 = 9 u |
3x9 = 27 u |
4x9 = 36 u |
Before |
3x3 = 9 u |
|
9x4 = 36 u |
Change |
- 2x3 = - 6 u |
- 208
|
- 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 rubik's cubes at first is repeated. Make the number of rubik's cubes the same. LCM of 9 and 3 is 9.
Number of dolls left
= 4 u - 3 u
= 1 u
Number of dolls sold
= 27 u - 1 u
= 26 u
26 u = 208
1 u = 208 ÷ 26 = 8
Number of rubik's cubes and dolls at first
= 36 u
= 36 x 8
= 288
Answer(s): 288