PSLE A fruit stall sold coconuts at 60¢ and mandarin oranges at 30¢ each. Xuan bought some coconuts and Victoria bought some mandarin oranges from the stall. Victoria spent $0.60 less than Xuan, but had 5 fruits more than Xuan.
- How many mandarin oranges did Victoria buy?
- How much did Xuan spend on the coconuts?
|
Coconuts |
Mandarin Oranges |
Number |
1 u |
1 u + 5 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 1.5 |
(a)
Number of coconuts that Xuan bought = 1 u
Number of mandarin oranges that Victoria bought = 1 u + 5
Amount that Xuan paid = 0.6 x 1 u = 0.6 u
Amount that Victoria paid = 0.3(1 u + 5) = 0.3 u + 1.5
If Victoria spent another $0.60, both Victoria and Xuan would spend the same amount.
0.6 u = 0.3 u + 1.5 + 0.6
0.6 u - 0.3 u = 1.5 + 0.6
0.3 u = 2.1
1 u = 2.1 ÷ 0.3 = 7
Number of mandarin oranges that Victoria bought
= 1 u + 5
= 7 + 5
= 12
(b)
Amount that Xuan spent on the coconuts
= 0.6 u
= 0.6 x 7
= $4.20
Answer(s): (a) 7; (b) $4.20