PSLE A fruit stall sold guavas at 60¢ and papayas at 40¢ each. Hilda bought some guavas and Hazel bought some papayas from the stall. Hazel spent $0.60 less than Hilda, but had 4 fruits more than Hilda.
- How many papayas did Hazel buy?
- How much did Hilda spend on the guavas?
|
Guavas |
Papayas |
Number |
1 u |
1 u + 4 |
Value |
0.6 |
0.4 |
Total value |
0.6 u |
0.4 u + 1.6 |
(a)
Number of guavas that Hilda bought = 1 u
Number of papayas that Hazel bought = 1 u + 4
Amount that Hilda paid = 0.6 x 1 u = 0.6 u
Amount that Hazel paid = 0.4(1 u + 4) = 0.4 u + 1.6
If Hazel spent another $0.60, both Hazel and Hilda would spend the same amount.
0.6 u = 0.4 u + 1.6 + 0.6
0.6 u - 0.4 u = 1.6 + 0.6
0.2 u = 2.2
1 u = 2.2 ÷ 0.2 = 11
Number of papayas that Hazel bought
= 1 u + 4
= 11 + 4
= 15
(b)
Amount that Hilda spent on the guavas
= 0.6 u
= 0.6 x 11
= $6.60
Answer(s): (a) 11; (b) $6.60