At a stall, the ratio of kiwis to grapefruits was 9 : 10. After Opal bought two-fifths of the grapefruits, there was a total of 120 kiwis and grapefruits left at the stall. How many fruits were there at first?
| |
Kiwis |
Grapefruits |
Total |
Comparing kiwis
and grapefruits at first |
9x1 =
9 u |
10x1 =
10 u |
19 u |
Before |
|
5x2 =
10 u |
|
Change |
|
- 2x2 =
- 4 u |
|
After |
9 u |
3x2 =
6 u |
120 |
The number of grapefruits at first is repeated. Make the number of grapefruits at first the same. LCM of 10 and 5 is 10.
Total number of fruits left
= 9 u + 6 u
= 15 u
15 u = 120
1 u = 120 ÷ 15 = 8
Number of fruits at first
= 9 u + 10 u
= 19 u
= 19 x 8
= 152
Answer(s): 152
