Kathy spent $12 on some mangoes, passion fruits and pears in the ratio of 2 : 3 : 1. The number of mangoes was
25 the number of passion fruits. The ratio of the number of pears to the number of passion fruits was 3 : 2. The mangoes were sold at 3 for a dollar.
- How many fruits did she buy altogether?
- How much did each passion fruit cost?
Amount spent |
Mangoes |
Passion Fruits |
Pears |
Total |
2 u |
3 u |
1 u |
6 u |
Total amount spent on fruits
= 2 u + 3 u + 1 u
= 6 u
6 u = 12
1 u = 12 ÷ 6 = 2
Amount that Kathy spent on mangoes
= 2 u
= 2 x 2
= $4
Total number of mangoes that Kathy bought
= 4 x 3
= 12
Number of fruits bought |
Mangoes |
Passion Fruits |
Pears |
2x2 |
5x2 |
|
|
2x5 |
3x5 |
4 p |
10 p |
15 p |
The number of passion fruits bought is repeated. Make the number of passion fruits the same. LCM of 2 and 5 is 10.
4 p = 12
1 p = 12 ÷ 4 = 3
Total number of fruits that Kathy bought
= 4 p + 10 p + 15 p
= 29 p
= 29 x 3
= 87
(b)
Total number of passion fruits that Kathy bought
= 10 p
= 10 x 3
= 30
Total amount that Kathy paid for the passion fruits
= 3 u
= 3 x 2
= $6
Price of each passion fruit
= 6 ÷ 30
= $0.20
Answer(s): (a) 87; (b) $0.20