PSLE A fruit stall sold guavas at 70¢ and grapefruits at 40¢ each. Linda bought some guavas and Pamela bought some grapefruits from the stall. Linda spent $0.10 more than Pamela, but had 5 fruits fewer than Pamela.
- How many guavas did Linda buy?
- How much did Pamela spend on the grapefruits?
|
Guavas |
Grapefruits |
Number |
1 u |
1 u + 5 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 2 |
(a)
Number of guavas that Linda bought = 1 u
Number of grapefruits that Pamela bought = 1 u + 5
Amount that Linda paid = 0.7 x 1 u = 0.7 u
Amount that Pamela paid = 0.4(1 u + 5) = 0.4 u + 2
If Pamela spent another $0.10, both Pamela and Linda would spend the same amount.
0.7 u = 0.4 u + 2 + 0.1
0.7 u - 0.4 u = 2 + 0.1
0.3 u = 2.1
1 u = 2.1 ÷ 0.3 = 7
Number of guavas that Linda bought
= 1 u
= 7
(b)
Amount that Pamela spent on the grapefruits
= 0.4 u + 2
= 0.4 x 7 + 2
= 2.8 + 2
= $4.80
Answer(s): (a) 7; (b) $4.80