At a stall, the ratio of mandarin oranges to tomatoes was 7 : 10. After Erika bought two-fifths of the tomatoes, there was a total of 78 mandarin oranges and tomatoes left at the stall. How many fruits were there at first?
| |
Mandarin Oranges |
Tomatoes |
Total |
Comparing mandarin oranges
and tomatoes at first |
7x1 =
7 u |
10x1 =
10 u |
17 u |
Before |
|
5x2 =
10 u |
|
Change |
|
- 2x2 =
- 4 u |
|
After |
7 u |
3x2 =
6 u |
78 |
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
= 7 u + 6 u
= 13 u
13 u = 78
1 u = 78 ÷ 13 = 6
Number of fruits at first
= 7 u + 10 u
= 17 u
= 17 x 6
= 102
Answer(s): 102
