PSLE A fruit stall sold mangosteens at 90¢ and lemons at 60¢ each. Mary bought some mangosteens and Elyse bought some lemons from the stall. Mary spent $1.50 more than Elyse, but had 2 fruits fewer than Elyse.
- How many mangosteens did Mary buy?
- How much did Elyse spend on the lemons?
|
Mangosteens |
Lemons |
Number |
1 u |
1 u + 2 |
Value |
0.9 |
0.6 |
Total value |
0.9 u |
0.6 u + 1.2 |
(a)
Number of mangosteens that Mary bought = 1 u
Number of lemons that Elyse bought = 1 u + 2
Amount that Mary paid = 0.9 x 1 u = 0.9 u
Amount that Elyse paid = 0.6(1 u + 2) = 0.6 u + 1.2
If Elyse spent another $1.50, both Elyse and Mary would spend the same amount.
0.9 u = 0.6 u + 1.2 + 1.5
0.9 u - 0.6 u = 1.2 + 1.5
0.3 u = 2.7
1 u = 2.7 ÷ 0.3 = 9
Number of mangosteens that Mary bought
= 1 u
= 9
(b)
Amount that Elyse spent on the lemons
= 0.6 u + 1.2
= 0.6 x 9 + 1.2
= 5.4 + 1.2
= $6.60
Answer(s): (a) 9; (b) $6.60