In a kiosk, some rubik's cubes and dolls were on sale.
111 of the items were rubik's cubes.
13 of the rubik's cubes and 595 dolls were sold. There were
19 of the items left in the kiosk. How many rubik's cubes and dolls were there in the kiosk at first?
| |
Rubik's cubes |
Dolls |
Total |
Comparing rubik's cubes
and dolls at first |
1x9 =
9 u |
10x9 =
90 u |
11x9 =
99 u |
| Before |
3x3 =
9 u |
|
9x11 =
99 u |
| Change |
- 1x3 =
- 3 u |
- 595
|
- 8x11 =
- 88 u |
| After |
2x3 =
6 u |
5 u |
1x11 =
11 u |
The total number of toys at first is repeated. Make the total number of toys at first the same. LCM of 11 and 9 is 99.
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
= 11 u - 6 u
= 5 u
Number of dolls sold
= 90 u - 5 u
= 85 u
85 u = 595
1 u = 595 ÷ 85 = 7
Number of rubik's cubes and dolls at first
= 99 u
= 99 x 7
= 693
Answer(s): 693
