PSLE A fruit stall sold peaches at 90¢ and mandarin oranges at 60¢ each. Xuan bought some peaches and Zoe bought some mandarin oranges from the stall. Zoe spent $0.90 less than Xuan, but had 4 fruits more than Xuan.
- How many mandarin oranges did Zoe buy?
- How much did Xuan spend on the peaches?
|
Peaches |
Mandarin Oranges |
Number |
1 u |
1 u + 4 |
Value |
0.9 |
0.6 |
Total value |
0.9 u |
0.6 u + 2.4 |
(a)
Number of peaches that Xuan bought = 1 u
Number of mandarin oranges that Zoe bought = 1 u + 4
Amount that Xuan paid = 0.9 x 1 u = 0.9 u
Amount that Zoe paid = 0.6(1 u + 4) = 0.6 u + 2.4
If Zoe spent another $0.90, both Zoe and Xuan would spend the same amount.
0.9 u = 0.6 u + 2.4 + 0.9
0.9 u - 0.6 u = 2.4 + 0.9
0.3 u = 3.3
1 u = 3.3 ÷ 0.3 = 11
Number of mandarin oranges that Zoe bought
= 1 u + 4
= 11 + 4
= 15
(b)
Amount that Xuan spent on the peaches
= 0.9 u
= 0.9 x 11
= $9.90
Answer(s): (a) 11; (b) $9.90