The prices of two fruits sold at a supermarket is shown.
| Fruit |
Price |
| Mangosteens |
2 kg for $7 |
| Chikoos |
4 kg for $8 |
- Vincent bought an equal mass of mangosteens and chikoos and spent $12 more on mangosteens than on chikoos. What was the total mass of fruits that Vincent bought?
- Zara spent an equal amount of money on mangosteens and chikoos. In terms of their masses, what was the ratio of mangosteens to the ratio of chikoos Zara bought?
(a)
LCM of 2 and 4 = 4
One set = 4 kg of mangosteens and 4 kg of chikoos
Number of sets of 2 kg of mangosteens
= 4 ÷ 2
= 2
Number of sets of 4 kg of chikoos
= 4 ÷ 4
= 1
Difference in price of mangosteens and chikoos in one set
= 2 x 7 - 1 x 8
= 14 - 8
= $6
Number of sets
= 12 ÷ 6
= 2
Mass of mangosteens and chikoos in one set
= 4 + 4
= 8 kg
Total mass of fruits bought
= 2 x 8
= 16 kg
(b)
LCM of 7 and 8 = 56
Number of sets of 2 kg of mangosteens to be bought with $56
= 56 ÷ 7
= 8
Mass of 8 sets of 2 kg of mangosteens
= 8 x 2
= 16 kg
Number of sets of 4 kg of mangosteens to be bought with $56
= 56 ÷ 8
= 7
Mass of 7 sets of 4 kg of chikoos
= 7 x 4
= 28 kg
Mass of mangosteens : Mass of chikoos
16 : 28
(÷4) 4 : 7
Answer(s): (a) 16 kg; (b) 4 : 7
