The ratio of kiwis to grapefruits is 3 : 5. If 275 grapefruits are added, the ratio of kiwis to grapefruits will be 1 : 10. How many grapefruits are there?
| |
Kiwis |
Grapefruits |
| Before |
3x1 =
3 u |
5x1 =
5 u |
| Change |
|
+ 275 |
| After |
1x3 =
3 u |
10x3 =
30 u |
The number of kiwis at first and in the end remains unchanged. Make the number of kiwis at first and in the end the same. LCM of 3 and 1 is 3.
Number of grapefruits added
= 30 u - 5 u
= 25 u
25 u = 275
1 u = 275 ÷ 25 = 11
Number of grapefruits
= 5 u
= 5 x 11
= 55
Answer(s): 55
