PSLE A fruit stall sold limes at 70¢ and coconuts at 50¢ each. Zoe bought some limes and Irene bought some coconuts from the stall. Zoe spent $0.90 more than Irene, but had 3 fruits fewer than Irene.
- How many limes did Zoe buy?
- How much did Irene spend on the coconuts?
|
Limes |
Coconuts |
Number |
1 u |
1 u + 3 |
Value |
0.7 |
0.5 |
Total value |
0.7 u |
0.5 u + 1.5 |
(a)
Number of limes that Zoe bought = 1 u
Number of coconuts that Irene bought = 1 u + 3
Amount that Zoe paid = 0.7 x 1 u = 0.7 u
Amount that Irene paid = 0.5(1 u + 3) = 0.5 u + 1.5
If Irene spent another $0.90, both Irene and Zoe would spend the same amount.
0.7 u = 0.5 u + 1.5 + 0.9
0.7 u - 0.5 u = 1.5 + 0.9
0.2 u = 2.4
1 u = 2.4 ÷ 0.2 = 12
Number of limes that Zoe bought
= 1 u
= 12
(b)
Amount that Irene spent on the coconuts
= 0.5 u + 1.5
= 0.5 x 12 + 1.5
= 6 + 1.5
= $7.50
Answer(s): (a) 12; (b) $7.50