The ratio of the number of tomatoes to the number of mangosteens that a fruit seller had was 3 : 10. After he sold one third of the mangosteens, there were a total of 290 tomatoes and mangosteens left at the market.
- How many tomatoes were there at the market?
- If he sold the remaining mangosteens in bags of 5 at $6.50 per bag, how much would he receive for them?
(a)
|
Tomatoes |
Mangosteens |
Total |
Before |
3x3 = 9 u
|
10x3 = 30 u |
|
Change |
|
- 10 u |
|
After |
9 u |
20 u |
290 |
The total number of mangosteens at first is the repeated identity.
LCM of 10 and 3 = 30
9 u + 20 u = 29 u
29 u = 290
1 u = 290 ÷ 29 = 10
Number of tomatoes in the stall
= 9 u
= 9 x 10
= 90
(b)
Number of mangosteens left
= 20 u
= 20 x 10
= 200
Number of bags
= 200 ÷ 5
= 40
Amount that he would receive
= 40 x 6.50
= $260
Answer(s): (a) 90; (b) $260