At a stall, the ratio of apricots to grapefruits was 3 : 11. After Abi bought three-fifths of the grapefruits, there was a total of 259 apricots and grapefruits left at the stall. How many fruits were there at first?
| |
Apricots |
Grapefruits |
Total |
Comparing apricots
and grapefruits at first |
3x5 =
15 u |
11x5 =
55 u |
70 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 3x11 =
- 33 u |
|
After |
15 u |
2x11 =
22 u |
259 |
The number of grapefruits at first is repeated. Make the number of grapefruits at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 15 u + 22 u
= 37 u
37 u = 259
1 u = 259 ÷ 37 = 7
Number of fruits at first
= 15 u + 55 u
= 70 u
= 70 x 7
= 490
Answer(s): 490
