PSLE A fruit stall sold coconuts at 60¢ and dates at 30¢ each. Marion bought some coconuts and Min bought some dates from the stall. Marion spent $1.50 more than Min, but had 5 fruits fewer than Min.
- How many coconuts did Marion buy?
- How much did Min spend on the dates?
|
Coconuts |
Dates |
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 Marion bought = 1 u
Number of dates that Min bought = 1 u + 5
Amount that Marion paid = 0.6 x 1 u = 0.6 u
Amount that Min paid = 0.3(1 u + 5) = 0.3 u + 1.5
If Min spent another $1.50, both Min and Marion would spend the same amount.
0.6 u = 0.3 u + 1.5 + 1.5
0.6 u - 0.3 u = 1.5 + 1.5
0.3 u = 3
1 u = 3 ÷ 0.3 = 10
Number of coconuts that Marion bought
= 1 u
= 10
(b)
Amount that Min spent on the dates
= 0.3 u + 1.5
= 0.3 x 10 + 1.5
= 3 + 1.5
= $4.50
Answer(s): (a) 10; (b) $4.50