PSLE A fruit stall sold lemons at 70¢ and papayas at 40¢ each. Abi bought some lemons and Gillian bought some papayas from the stall. Abi spent $2.80 more than Gillian, but had 2 fruits fewer than Gillian.
- How many lemons did Abi buy?
- How much did Gillian spend on the papayas?
|
Lemons |
Papayas |
Number |
1 u |
1 u + 2 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 0.8 |
(a)
Number of lemons that Abi bought = 1 u
Number of papayas that Gillian bought = 1 u + 2
Amount that Abi paid = 0.7 x 1 u = 0.7 u
Amount that Gillian paid = 0.4(1 u + 2) = 0.4 u + 0.8
If Gillian spent another $2.80, both Gillian and Abi would spend the same amount.
0.7 u = 0.4 u + 0.8 + 2.8
0.7 u - 0.4 u = 0.8 + 2.8
0.3 u = 3.6
1 u = 3.6 ÷ 0.3 = 12
Number of lemons that Abi bought
= 1 u
= 12
(b)
Amount that Gillian spent on the papayas
= 0.4 u + 0.8
= 0.4 x 12 + 0.8
= 4.8 + 0.8
= $5.60
Answer(s): (a) 12; (b) $5.60