The ratio of the number of tomatoes to the number of avocados that a fruit seller had was 2 : 5. After he sold one fifth of the avocados, there were a total of 420 tomatoes and avocados left at the stall.
- How many tomatoes were there at the stall?
- If he sold the remaining avocados in bags of 4 at $5.30 per bag, how much would he receive for them?
(a)
|
Tomatoes |
Avocados |
Total |
Before |
2x5 = 10 u
|
5x5 = 25 u |
|
Change |
|
- 5 u |
|
After |
10 u |
20 u |
420 |
The total number of avocados at first is the repeated identity.
LCM of 5 and 5 = 25
10 u + 20 u = 30 u
30 u = 420
1 u = 420 ÷ 30 = 14
Number of tomatoes in the stall
= 10 u
= 10 x 14
= 140
(b)
Number of avocados left
= 20 u
= 20 x 14
= 280
Number of bags
= 280 ÷ 4
= 70
Amount that he would receive
= 70 x 5.30
= $371
Answer(s): (a) 140; (b) $371