At a stall, the ratio of tomatoes to pears was 4 : 11. After Lynn bought two-thirds of the pears, there was a total of 230 tomatoes and pears left at the stall. How many fruits were there at first?
| |
Tomatoes |
Pears |
Total |
Comparing tomatoes
and pears at first |
4x3 =
12 u |
11x3 =
33 u |
45 u |
Before |
|
3x11 =
33 u |
|
Change |
|
- 2x11 =
- 22 u |
|
After |
12 u |
1x11 =
11 u |
230 |
The number of pears at first is repeated. Make the number of pears at first the same. LCM of 11 and 3 is 33.
Total number of fruits left
= 12 u + 11 u
= 23 u
23 u = 230
1 u = 230 ÷ 23 = 10
Number of fruits at first
= 12 u + 33 u
= 45 u
= 45 x 10
= 450
Answer(s): 450
