The ratio of the number of avocados to the number of tomatoes that a fruit seller had was 5 : 11. After he sold one fifth of the tomatoes, there were a total of 690 avocados and tomatoes left at the market.
- How many avocados were there at the market?
- If he sold the remaining tomatoes in bags of 4 at $8.30 per bag, how much would he receive for them?
(a)
|
Avocados |
Tomatoes |
Total |
Before |
5x5 = 25 u
|
11x5 = 55 u |
|
Change |
|
- 11 u |
|
After |
25 u |
44 u |
690 |
The total number of tomatoes at first is the repeated identity.
LCM of 11 and 5 = 55
25 u + 44 u = 69 u
69 u = 690
1 u = 690 ÷ 69 = 10
Number of avocados in the stall
= 25 u
= 25 x 10
= 250
(b)
Number of tomatoes left
= 44 u
= 44 x 10
= 440
Number of bags
= 440 ÷ 4
= 110
Amount that he would receive
= 110 x 8.30
= $913
Answer(s): (a) 250; (b) $913