Cindy spent $18 on some oranges, apples and lemons in the ratio of 2 : 4 : 3. The number of oranges was
15 the number of apples. The ratio of the number of lemons to the number of apples was 5 : 2. The oranges were sold at 2 for a dollar.
- How many fruits did she buy altogether?
- How much did each apple cost?
Amount spent |
Oranges |
Apples |
Lemons |
Total |
2 u |
4 u |
3 u |
9 u |
Total amount spent on fruits
= 2 u + 4 u + 3 u
= 9 u
9 u = 18
1 u = 18 ÷ 9 = 2
Amount that Cindy spent on oranges
= 2 u
= 2 x 2
= $4
Total number of oranges that Cindy bought
= 4 x 2
= 8
Number of fruits bought |
Oranges |
Apples |
Lemons |
1x2 |
5x2 |
|
|
2x5 |
5x5 |
2 p |
10 p |
25 p |
The number of apples bought is repeated. Make the number of apples the same. LCM of 2 and 5 is 10.
2 p = 8
1 p = 8 ÷ 2 = 4
Total number of fruits that Cindy bought
= 2 p + 10 p + 25 p
= 37 p
= 37 x 4
= 148
(b)
Total number of apples that Cindy bought
= 10 p
= 10 x 4
= 40
Total amount that Cindy paid for the apples
= 4 u
= 4 x 2
= $8
Price of each apple
= 8 ÷ 40
= $0.20
Answer(s): (a) 148; (b) $0.20