PSLE A fruit stall sold dragon fruits at 80¢ and limes at 60¢ each. Marion bought some dragon fruits and Diana bought some limes from the stall. Marion spent $0.80 more than Diana, but had 2 fruits fewer than Diana.
- How many dragon fruits did Marion buy?
- How much did Diana spend on the limes?
|
Dragon Fruits |
Limes |
Number |
1 u |
1 u + 2 |
Value |
0.8 |
0.6 |
Total value |
0.8 u |
0.6 u + 1.2 |
(a)
Number of dragon fruits that Marion bought = 1 u
Number of limes that Diana bought = 1 u + 2
Amount that Marion paid = 0.8 x 1 u = 0.8 u
Amount that Diana paid = 0.6(1 u + 2) = 0.6 u + 1.2
If Diana spent another $0.80, both Diana and Marion would spend the same amount.
0.8 u = 0.6 u + 1.2 + 0.8
0.8 u - 0.6 u = 1.2 + 0.8
0.2 u = 2
1 u = 2 ÷ 0.2 = 10
Number of dragon fruits that Marion bought
= 1 u
= 10
(b)
Amount that Diana spent on the limes
= 0.6 u + 1.2
= 0.6 x 10 + 1.2
= 6 + 1.2
= $7.20
Answer(s): (a) 10; (b) $7.20