Jade spent $20 on some mangoes, chikoos and oranges in the ratio of 5 : 4 : 1. The number of mangoes was
12 the number of chikoos. The ratio of the number of oranges to the number of chikoos was 6 : 5. The mangoes were sold at 4 for a dollar.
- How many fruits did she buy altogether?
- How much did each chikoo cost?
Amount spent |
Mangoes |
Chikoos |
Oranges |
Total |
5 u |
4 u |
1 u |
10 u |
Total amount spent on fruits
= 5 u + 4 u + 1 u
= 10 u
10 u = 20
1 u = 20 ÷ 10 = 2
Amount that Jade spent on mangoes
= 5 u
= 5 x 2
= $10
Total number of mangoes that Jade bought
= 10 x 4
= 40
Number of fruits bought |
Mangoes |
Chikoos |
Oranges |
1x5 |
2x5 |
|
|
5x2 |
6x2 |
5 p |
10 p |
12 p |
The number of chikoos bought is repeated. Make the number of chikoos the same. LCM of 5 and 2 is 10.
5 p = 40
1 p = 40 ÷ 5 = 8
Total number of fruits that Jade bought
= 5 p + 10 p + 12 p
= 27 p
= 27 x 8
= 216
(b)
Total number of chikoos that Jade bought
= 10 p
= 10 x 8
= 80
Total amount that Jade paid for the chikoos
= 4 u
= 4 x 2
= $8
Price of each chikoo
= 8 ÷ 80
= $0.10
Answer(s): (a) 216; (b) $0.10