PSLE A fruit stall sold plums at 60¢ and peaches at 30¢ each. Xandra bought some plums and Esther bought some peaches from the stall. Esther spent $0.30 less than Xandra, but had 8 fruits more than Xandra.
- How many peaches did Esther buy?
- How much did Xandra spend on the plums?
|
Plums |
Peaches |
Number |
1 u |
1 u + 8 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 2.4 |
(a)
Number of plums that Xandra bought = 1 u
Number of peaches that Esther bought = 1 u + 8
Amount that Xandra paid = 0.6 x 1 u = 0.6 u
Amount that Esther paid = 0.3(1 u + 8) = 0.3 u + 2.4
If Esther spent another $0.30, both Esther and Xandra would spend the same amount.
0.6 u = 0.3 u + 2.4 + 0.3
0.6 u - 0.3 u = 2.4 + 0.3
0.3 u = 2.7
1 u = 2.7 ÷ 0.3 = 9
Number of peaches that Esther bought
= 1 u + 8
= 9 + 8
= 17
(b)
Amount that Xandra spent on the plums
= 0.6 u
= 0.6 x 9
= $5.40
Answer(s): (a) 9; (b) $5.40