PSLE A fruit stall sold dragon fruits at 60¢ and apricots at 40¢ each. Cindy bought some dragon fruits and Winnie bought some apricots from the stall. Winnie spent $0.60 less than Cindy, but had 3 fruits more than Cindy.
- How many apricots did Winnie buy?
- How much did Cindy spend on the dragon fruits?
|
Dragon Fruits |
Apricots |
Number |
1 u |
1 u + 3 |
Value |
0.6 |
0.4 |
Total value |
0.6 u |
0.4 u + 1.2 |
(a)
Number of dragon fruits that Cindy bought = 1 u
Number of apricots that Winnie bought = 1 u + 3
Amount that Cindy paid = 0.6 x 1 u = 0.6 u
Amount that Winnie paid = 0.4(1 u + 3) = 0.4 u + 1.2
If Winnie spent another $0.60, both Winnie and Cindy would spend the same amount.
0.6 u = 0.4 u + 1.2 + 0.6
0.6 u - 0.4 u = 1.2 + 0.6
0.2 u = 1.8
1 u = 1.8 ÷ 0.2 = 9
Number of apricots that Winnie bought
= 1 u + 3
= 9 + 3
= 12
(b)
Amount that Cindy spent on the dragon fruits
= 0.6 u
= 0.6 x 9
= $5.40
Answer(s): (a) 9; (b) $5.40