Peter had pomegranates and starfruits. The ratio of pomegranates to starfruits was 6 : 5. After
34 of the pomegranates and 63 starfruits were sold, there were 3 times as many pomegranates as starfruits left. How many pomegranates and starfruits were there at first?
| |
Pomegranates |
Starfruits |
Comparing pomegranates
and starfruits at first |
6x2 =
12 u |
5x2 =
10 u |
| Before |
4x3 =
12 u |
|
| Change |
- 3x3 =
- 9 u |
- 63 |
| After |
1x3 =
3 u |
|
Comparing pomegranates
and starfruits in the end |
3 u |
1 u |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 6 and 4 is 12.
Number of starfruits sold
= 10 u - 1 u
= 9 u
9 u = 63
1 u = 63 ÷ 9 = 7
Number of pomegranates and starfruits at first
= 12 u + 10 u
= 22 u
= 22 x 7
= 154
Answer(s): 154
