PSLE A fruit stall sold lemons at 90¢ and dragon fruits at 60¢ each. Betty bought some lemons and Elyse bought some dragon fruits from the stall. Elyse spent $0.30 less than Betty, but had 4 fruits more than Betty.
- How many dragon fruits did Elyse buy?
- How much did Betty spend on the lemons?
|
Lemons |
Dragon Fruits |
Number |
1 u |
1 u + 4 |
Value |
0.9 |
0.6 |
Total value |
0.9 u |
0.6 u + 2.4 |
(a)
Number of lemons that Betty bought = 1 u
Number of dragon fruits that Elyse bought = 1 u + 4
Amount that Betty paid = 0.9 x 1 u = 0.9 u
Amount that Elyse paid = 0.6(1 u + 4) = 0.6 u + 2.4
If Elyse spent another $0.30, both Elyse and Betty would spend the same amount.
0.9 u = 0.6 u + 2.4 + 0.3
0.9 u - 0.6 u = 2.4 + 0.3
0.3 u = 2.7
1 u = 2.7 ÷ 0.3 = 9
Number of dragon fruits that Elyse bought
= 1 u + 4
= 9 + 4
= 13
(b)
Amount that Betty spent on the lemons
= 0.9 u
= 0.9 x 9
= $8.10
Answer(s): (a) 9; (b) $8.10