The ratio of the number of dates to the number of tomatoes that a fruit seller had was 3 : 10. After he sold one quarter of the tomatoes, there were a total of 504 dates and tomatoes left at the mart.
- How many dates were there at the mart?
- If he sold the remaining tomatoes in bags of 4 at $4.40 per bag, how much would he receive for them?
(a)
|
Dates |
Tomatoes |
Total |
Before |
3x4 = 12 u
|
10x4 = 40 u |
|
Change |
|
- 10 u |
|
After |
12 u |
30 u |
504 |
The total number of tomatoes at first is the repeated identity.
LCM of 10 and 4 = 40
12 u + 30 u = 42 u
42 u = 504
1 u = 504 ÷ 42 = 12
Number of dates in the stall
= 12 u
= 12 x 12
= 144
(b)
Number of tomatoes left
= 30 u
= 30 x 12
= 360
Number of bags
= 360 ÷ 4
= 90
Amount that he would receive
= 90 x 4.40
= $396
Answer(s): (a) 144; (b) $396