PSLE A fruit stall sold dragon fruits at 90¢ and papayas at 60¢ each. Cindy bought some dragon fruits and Elyse bought some papayas from the stall. Cindy spent $0.60 more than Elyse, but had 5 fruits fewer than Elyse.
- How many dragon fruits did Cindy buy?
- How much did Elyse spend on the papayas?
|
Dragon Fruits |
Papayas |
Number |
1 u |
1 u + 5 |
Value |
0.9 |
0.6 |
Total value |
0.9 u |
0.6 u + 3 |
(a)
Number of dragon fruits that Cindy bought = 1 u
Number of papayas that Elyse bought = 1 u + 5
Amount that Cindy paid = 0.9 x 1 u = 0.9 u
Amount that Elyse paid = 0.6(1 u + 5) = 0.6 u + 3
If Elyse spent another $0.60, both Elyse and Cindy would spend the same amount.
0.9 u = 0.6 u + 3 + 0.6
0.9 u - 0.6 u = 3 + 0.6
0.3 u = 3.6
1 u = 3.6 ÷ 0.3 = 12
Number of dragon fruits that Cindy bought
= 1 u
= 12
(b)
Amount that Elyse spent on the papayas
= 0.6 u + 3
= 0.6 x 12 + 3
= 7.2 + 3
= $10.20
Answer(s): (a) 12; (b) $10.20