The ratio of the number of tomatoes to the number of mandarin oranges that a fruit seller had was 2 : 5. After he sold one third of the mandarin oranges, there were a total of 80 tomatoes and mandarin oranges left at the mart.
- How many tomatoes were there at the mart?
- If he sold the remaining mandarin oranges in bags of 5 at $7.40 per bag, how much would he receive for them?
(a)
|
Tomatoes |
Mandarin Oranges |
Total |
Before |
2x3 = 6 u
|
5x3 = 15 u |
|
Change |
|
- 5 u |
|
After |
6 u |
10 u |
80 |
The total number of mandarin oranges at first is the repeated identity.
LCM of 5 and 3 = 15
6 u + 10 u = 16 u
16 u = 80
1 u = 80 ÷ 16 = 5
Number of tomatoes in the stall
= 6 u
= 6 x 5
= 30
(b)
Number of mandarin oranges left
= 10 u
= 10 x 5
= 50
Number of bags
= 50 ÷ 5
= 10
Amount that he would receive
= 10 x 7.40
= $74
Answer(s): (a) 30; (b) $74