At a mart, the ratio of oranges to peaches was 7 : 10. After Gem bought two-fifths of the peaches, there was a total of 78 oranges and peaches left at the mart. How many fruits were there at first?
| |
Oranges |
Peaches |
Total |
Comparing oranges
and peaches 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 peaches at first is repeated. Make the number of peaches 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
