The ratio of the number of plums to the number of tomatoes that a fruit seller had was 5 : 11. After he sold one third of the tomatoes, there were a total of 185 plums and tomatoes left at the market.
- How many plums were there at the market?
- If he sold the remaining tomatoes in bags of 5 at $8.50 per bag, how much would he receive for them?
(a)
|
Plums |
Tomatoes |
Total |
Before |
5x3 = 15 u
|
11x3 = 33 u |
|
Change |
|
- 11 u |
|
After |
15 u |
22 u |
185 |
The total number of tomatoes at first is the repeated identity.
LCM of 11 and 3 = 33
15 u + 22 u = 37 u
37 u = 185
1 u = 185 ÷ 37 = 5
Number of plums in the stall
= 15 u
= 15 x 5
= 75
(b)
Number of tomatoes left
= 22 u
= 22 x 5
= 110
Number of bags
= 110 ÷ 5
= 22
Amount that he would receive
= 22 x 8.50
= $187
Answer(s): (a) 75; (b) $187