In a shop, some dolls and flying saucers were on sale.
15 of the items were dolls.
13 of the dolls and 230 flying saucers were sold. There were
16 of the items left in the shop. How many dolls and flying saucers were there in the shop at first?
| |
Dolls |
Flying saucers |
Total |
Comparing dolls
and flying saucers at first |
1x6 =
6 u |
4x6 =
24 u |
5x6 =
30 u |
| Before |
3x2 =
6 u |
|
6x5 =
30 u |
| Change |
- 1x2 =
- 2 u |
- 230
|
- 5x5 =
- 25 u |
| After |
2x2 =
4 u |
1 u |
1x5 =
5 u |
The total number of toys at first is repeated. Make the total number of toys at first the same. LCM of 5 and 6 is 30.
The number of dolls at first is repeated. Make the number of dolls the same. LCM of 6 and 3 is 6.
Number of flying saucers left
= 5 u - 4 u
= 1 u
Number of flying saucers sold
= 24 u - 1 u
= 23 u
23 u = 230
1 u = 230 ÷ 23 = 10
Number of dolls and flying saucers at first
= 30 u
= 30 x 10
= 300
Answer(s): 300
