At a shop, the ratio of mangosteens to tomatoes was 9 : 10. After Ivory bought two-fifths of the tomatoes, there was a total of 105 mangosteens and tomatoes left at the shop. How many fruits were there at first?
| |
Mangosteens |
Tomatoes |
Total |
Comparing mangosteens
and tomatoes at first |
9x1 =
9 u |
10x1 =
10 u |
19 u |
Before |
|
5x2 =
10 u |
|
Change |
|
- 2x2 =
- 4 u |
|
After |
9 u |
3x2 =
6 u |
105 |
The number of tomatoes at first is repeated. Make the number of tomatoes at first the same. LCM of 10 and 5 is 10.
Total number of fruits left
= 9 u + 6 u
= 15 u
15 u = 105
1 u = 105 ÷ 15 = 7
Number of fruits at first
= 9 u + 10 u
= 19 u
= 19 x 7
= 133
Answer(s): 133
