The ratio of the number of coconuts to the number of oranges that a fruit seller had was 5 : 11. After he sold one fifth of the oranges, there were a total of 552 coconuts and oranges left at the shop.
- How many coconuts were there at the shop?
- If he sold the remaining oranges in bags of 4 at $3.50 per bag, how much would he receive for them?
(a)
|
Coconuts |
Oranges |
Total |
Before |
5x5 = 25 u
|
11x5 = 55 u |
|
Change |
|
- 11 u |
|
After |
25 u |
44 u |
552 |
The total number of oranges at first is the repeated identity.
LCM of 11 and 5 = 55
25 u + 44 u = 69 u
69 u = 552
1 u = 552 ÷ 69 = 8
Number of coconuts in the stall
= 25 u
= 25 x 8
= 200
(b)
Number of oranges left
= 44 u
= 44 x 8
= 352
Number of bags
= 352 ÷ 4
= 88
Amount that he would receive
= 88 x 3.50
= $308
Answer(s): (a) 200; (b) $308