In a mall, some flying saucers and dolls were on sale.
17 of the items were flying saucers.
23 of the flying saucers and 217 dolls were sold. There were
16 of the items left in the mall. How many flying saucers and dolls were there in the mall at first?
| |
Flying saucers |
Dolls |
Total |
Comparing flying saucers
and dolls at first |
1x6 =
6 u |
6x6 =
36 u |
7x6 =
42 u |
| Before |
3x2 =
6 u |
|
6x7 =
42 u |
| Change |
- 2x2 =
- 4 u |
- 217
|
- 5x7 =
- 35 u |
| After |
1x2 =
2 u |
5 u |
1x7 =
7 u |
The total number of toys at first is repeated. Make the total number of toys at first the same. LCM of 7 and 6 is 42.
The number of flying saucers at first is repeated. Make the number of flying saucers the same. LCM of 6 and 3 is 6.
Number of dolls left
= 7 u - 2 u
= 5 u
Number of dolls sold
= 36 u - 5 u
= 31 u
31 u = 217
1 u = 217 ÷ 31 = 7
Number of flying saucers and dolls at first
= 42 u
= 42 x 7
= 294
Answer(s): 294
