At a shop, the ratio of tomatoes to dates was 7 : 10. After Gwen bought four-fifths of the dates, there was a total of 72 tomatoes and dates left at the shop. How many fruits were there at first?
| |
Tomatoes |
Dates |
Total |
Comparing tomatoes
and dates at first |
7x1 =
7 u |
10x1 =
10 u |
17 u |
Before |
|
5x2 =
10 u |
|
Change |
|
- 4x2 =
- 8 u |
|
After |
7 u |
1x2 =
2 u |
72 |
The number of dates at first is repeated. Make the number of dates at first the same. LCM of 10 and 5 is 10.
Total number of fruits left
= 7 u + 2 u
= 9 u
9 u = 72
1 u = 72 ÷ 9 = 8
Number of fruits at first
= 7 u + 10 u
= 17 u
= 17 x 8
= 136
Answer(s): 136
