Usha spent $40 on some passion fruits, oranges and mangoes in the ratio of 2 : 5 : 1. The number of passion fruits was
25 the number of oranges. The ratio of the number of mangoes to the number of oranges was 3 : 1. The passion fruits were sold at 4 for a dollar.
- How many fruits did she buy altogether?
- How much did each orange cost?
Amount spent |
Passion Fruits |
Oranges |
Mangoes |
Total |
2 u |
5 u |
1 u |
8 u |
Total amount spent on fruits
= 2 u + 5 u + 1 u
= 8 u
8 u = 40
1 u = 40 ÷ 8 = 5
Amount that Usha spent on passion fruits
= 2 u
= 2 x 5
= $10
Total number of passion fruits that Usha bought
= 10 x 4
= 40
Number of fruits bought |
Passion Fruits |
Oranges |
Mangoes |
2x1 |
5x1 |
|
|
1x5 |
3x5 |
2 p |
5 p |
15 p |
The number of oranges bought is repeated. Make the number of oranges the same. LCM of 1 and 5 is 5.
2 p = 40
1 p = 40 ÷ 2 = 20
Total number of fruits that Usha bought
= 2 p + 5 p + 15 p
= 22 p
= 22 x 20
= 440
(b)
Total number of oranges that Usha bought
= 5 p
= 5 x 20
= 100
Total amount that Usha paid for the oranges
= 5 u
= 5 x 5
= $25
Price of each orange
= 25 ÷ 100
= $0.25
Answer(s): (a) 440; (b) $0.25