PSLE A fruit stall sold guavas at 70¢ and dragon fruits at 40¢ each. Marion bought some guavas and Hilda bought some dragon fruits from the stall. Hilda spent $0.40 less than Marion, but had 8 fruits more than Marion.
- How many dragon fruits did Hilda buy?
- How much did Marion spend on the guavas?
|
Guavas |
Dragon Fruits |
Number |
1 u |
1 u + 8 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 3.2 |
(a)
Number of guavas that Marion bought = 1 u
Number of dragon fruits that Hilda bought = 1 u + 8
Amount that Marion paid = 0.7 x 1 u = 0.7 u
Amount that Hilda paid = 0.4(1 u + 8) = 0.4 u + 3.2
If Hilda spent another $0.40, both Hilda and Marion would spend the same amount.
0.7 u = 0.4 u + 3.2 + 0.4
0.7 u - 0.4 u = 3.2 + 0.4
0.3 u = 3.6
1 u = 3.6 ÷ 0.3 = 12
Number of dragon fruits that Hilda bought
= 1 u + 8
= 12 + 8
= 20
(b)
Amount that Marion spent on the guavas
= 0.7 u
= 0.7 x 12
= $8.40
Answer(s): (a) 12; (b) $8.40