PSLE A fruit stall sold dragon fruits at 70¢ and peaches at 40¢ each. Anna bought some dragon fruits and Rachel bought some peaches from the stall. Anna spent $1.30 more than Rachel, but had 2 fruits fewer than Rachel.
- How many dragon fruits did Anna buy?
- How much did Rachel spend on the peaches?
|
Dragon Fruits |
Peaches |
Number |
1 u |
1 u + 2 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 0.8 |
(a)
Number of dragon fruits that Anna bought = 1 u
Number of peaches that Rachel bought = 1 u + 2
Amount that Anna paid = 0.7 x 1 u = 0.7 u
Amount that Rachel paid = 0.4(1 u + 2) = 0.4 u + 0.8
If Rachel spent another $1.30, both Rachel and Anna would spend the same amount.
0.7 u = 0.4 u + 0.8 + 1.3
0.7 u - 0.4 u = 0.8 + 1.3
0.3 u = 2.1
1 u = 2.1 ÷ 0.3 = 7
Number of dragon fruits that Anna bought
= 1 u
= 7
(b)
Amount that Rachel spent on the peaches
= 0.4 u + 0.8
= 0.4 x 7 + 0.8
= 2.8 + 0.8
= $3.60
Answer(s): (a) 7; (b) $3.60