PSLE A fruit stall sold guavas at 60¢ and grapefruits at 40¢ each. Hilda bought some guavas and Dana bought some grapefruits from the stall. Hilda spent $1.40 more than Dana, but had 2 fruits fewer than Dana.
- How many guavas did Hilda buy?
- How much did Dana spend on the grapefruits?
|
Guavas |
Grapefruits |
Number |
1 u |
1 u + 2 |
Value |
0.6 |
0.4 |
Total value |
0.6 u |
0.4 u + 0.8 |
(a)
Number of guavas that Hilda bought = 1 u
Number of grapefruits that Dana bought = 1 u + 2
Amount that Hilda paid = 0.6 x 1 u = 0.6 u
Amount that Dana paid = 0.4(1 u + 2) = 0.4 u + 0.8
If Dana spent another $1.40, both Dana and Hilda would spend the same amount.
0.6 u = 0.4 u + 0.8 + 1.4
0.6 u - 0.4 u = 0.8 + 1.4
0.2 u = 2.2
1 u = 2.2 ÷ 0.2 = 11
Number of guavas that Hilda bought
= 1 u
= 11
(b)
Amount that Dana spent on the grapefruits
= 0.4 u + 0.8
= 0.4 x 11 + 0.8
= 4.4 + 0.8
= $5.20
Answer(s): (a) 11; (b) $5.20