Olivia spent $21 on some oranges, kiwis and mangosteens in the ratio of 4 : 2 : 1. The number of oranges was
35 the number of kiwis. The ratio of the number of mangosteens to the number of kiwis was 5 : 1. The oranges were sold at 3 for a dollar.
- How many fruits did she buy altogether?
- How much did each kiwi cost?
Amount spent |
Oranges |
Kiwis |
Mangosteens |
Total |
4 u |
2 u |
1 u |
7 u |
Total amount spent on fruits
= 4 u + 2 u + 1 u
= 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
Amount that Olivia spent on oranges
= 4 u
= 4 x 3
= $12
Total number of oranges that Olivia bought
= 12 x 3
= 36
Number of fruits bought |
Oranges |
Kiwis |
Mangosteens |
3x1 |
5x1 |
|
|
1x5 |
5x5 |
3 p |
5 p |
25 p |
The number of kiwis bought is repeated. Make the number of kiwis the same. LCM of 1 and 5 is 5.
3 p = 36
1 p = 36 ÷ 3 = 12
Total number of fruits that Olivia bought
= 3 p + 5 p + 25 p
= 33 p
= 33 x 12
= 396
(b)
Total number of kiwis that Olivia bought
= 5 p
= 5 x 12
= 60
Total amount that Olivia paid for the kiwis
= 2 u
= 2 x 3
= $6
Price of each kiwi
= 6 ÷ 60
= $0.10
Answer(s): (a) 396; (b) $0.10