PSLE A fruit stall sold mangosteens at 70¢ and limes at 40¢ each. Marion bought some mangosteens and Elyse bought some limes from the stall. Elyse spent $0.50 less than Marion, but had 4 fruits more than Marion.
- How many limes did Elyse buy?
- How much did Marion spend on the mangosteens?
|
Mangosteens |
Limes |
Number |
1 u |
1 u + 4 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 1.6 |
(a)
Number of mangosteens that Marion bought = 1 u
Number of limes that Elyse bought = 1 u + 4
Amount that Marion paid = 0.7 x 1 u = 0.7 u
Amount that Elyse paid = 0.4(1 u + 4) = 0.4 u + 1.6
If Elyse spent another $0.50, both Elyse and Marion would spend the same amount.
0.7 u = 0.4 u + 1.6 + 0.5
0.7 u - 0.4 u = 1.6 + 0.5
0.3 u = 2.1
1 u = 2.1 ÷ 0.3 = 7
Number of limes that Elyse bought
= 1 u + 4
= 7 + 4
= 11
(b)
Amount that Marion spent on the mangosteens
= 0.7 u
= 0.7 x 7
= $4.90
Answer(s): (a) 7; (b) $4.90