PSLE A fruit stall sold peaches at 60¢ and lemons at 30¢ each. Xuan bought some peaches and Gabby bought some lemons from the stall. Xuan spent $1.80 more than Gabby, but had 5 fruits fewer than Gabby.
- How many peaches did Xuan buy?
- How much did Gabby spend on the lemons?
|
Peaches |
Lemons |
Number |
1 u |
1 u + 5 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 1.5 |
(a)
Number of peaches that Xuan bought = 1 u
Number of lemons that Gabby bought = 1 u + 5
Amount that Xuan paid = 0.6 x 1 u = 0.6 u
Amount that Gabby paid = 0.3(1 u + 5) = 0.3 u + 1.5
If Gabby spent another $1.80, both Gabby and Xuan would spend the same amount.
0.6 u = 0.3 u + 1.5 + 1.8
0.6 u - 0.3 u = 1.5 + 1.8
0.3 u = 3.3
1 u = 3.3 ÷ 0.3 = 11
Number of peaches that Xuan bought
= 1 u
= 11
(b)
Amount that Gabby spent on the lemons
= 0.3 u + 1.5
= 0.3 x 11 + 1.5
= 3.3 + 1.5
= $4.80
Answer(s): (a) 11; (b) $4.80