The prices of two fruits sold at a supermarket is shown.
Fruit |
Price |
Chikoos |
6 kg for $12 |
Peaches |
5 kg for $8 |
- Reggie bought an equal mass of chikoos and peaches and spent $48 more on chikoos than on peaches. What was the total mass of fruits that Reggie bought?
- Emily spent an equal amount of money on chikoos and peaches. In terms of their masses, what was the ratio of chikoos to the ratio of peaches Emily bought?
(a)
LCM of 6 and 5 = 30
One set = 30 kg of chikoos and 30 kg of peaches
Number of sets of 6 kg of chikoos
= 30 ÷ 6
= 5
Number of sets of 5 kg of peaches
= 30 ÷ 5
= 6
Difference in price of chikoos and peaches in one set
= 5 x 12 - 6 x 8
= 60 - 48
= $12
Number of sets
= 48 ÷ 12
= 4
Mass of chikoos and peaches in one set
= 30 + 30
= 60 kg
Total mass of fruits bought
= 4 x 60
= 240 kg
(b)
LCM of 12 and 8 = 24
Number of sets of 6 kg of chikoos to be bought with $24
= 24 ÷ 12
= 2
Mass of 2 sets of 6 kg of chikoos
= 2 x 6
= 12 kg
Number of sets of 5 kg of chikoos to be bought with $24
= 24 ÷ 8
= 3
Mass of 3 sets of 5 kg of peaches
= 3 x 5
= 15 kg
Mass of chikoos : Mass of peaches
12 : 15
(÷3) 4 : 5
Answer(s): (a) 240 kg; (b) 4 : 5