PSLE A fruit stall sold avocados at 70¢ and pomegranates at 40¢ each. Kathy bought some avocados and Jaslyn bought some pomegranates from the stall. Kathy spent $1.20 more than Jaslyn, but had 3 fruits fewer than Jaslyn.
- How many avocados did Kathy buy?
- How much did Jaslyn spend on the pomegranates?
|
Avocados |
Pomegranates |
Number |
1 u |
1 u + 3 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 1.2 |
(a)
Number of avocados that Kathy bought = 1 u
Number of pomegranates that Jaslyn bought = 1 u + 3
Amount that Kathy paid = 0.7 x 1 u = 0.7 u
Amount that Jaslyn paid = 0.4(1 u + 3) = 0.4 u + 1.2
If Jaslyn spent another $1.20, both Jaslyn and Kathy would spend the same amount.
0.7 u = 0.4 u + 1.2 + 1.2
0.7 u - 0.4 u = 1.2 + 1.2
0.3 u = 2.4
1 u = 2.4 ÷ 0.3 = 8
Number of avocados that Kathy bought
= 1 u
= 8
(b)
Amount that Jaslyn spent on the pomegranates
= 0.4 u + 1.2
= 0.4 x 8 + 1.2
= 3.2 + 1.2
= $4.40
Answer(s): (a) 8; (b) $4.40