PSLE A fruit stall sold peaches at 60¢ and plums at 30¢ each. Fiona bought some peaches and Kimberly bought some plums from the stall. Kimberly spent $2.10 less than Fiona, but had 4 fruits more than Fiona.
- How many plums did Kimberly buy?
- How much did Fiona spend on the peaches?
|
Peaches |
Plums |
Number |
1 u |
1 u + 4 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 1.2 |
(a)
Number of peaches that Fiona bought = 1 u
Number of plums that Kimberly bought = 1 u + 4
Amount that Fiona paid = 0.6 x 1 u = 0.6 u
Amount that Kimberly paid = 0.3(1 u + 4) = 0.3 u + 1.2
If Kimberly spent another $2.10, both Kimberly and Fiona would spend the same amount.
0.6 u = 0.3 u + 1.2 + 2.1
0.6 u - 0.3 u = 1.2 + 2.1
0.3 u = 3.3
1 u = 3.3 ÷ 0.3 = 11
Number of plums that Kimberly bought
= 1 u + 4
= 11 + 4
= 15
(b)
Amount that Fiona spent on the peaches
= 0.6 u
= 0.6 x 11
= $6.60
Answer(s): (a) 11; (b) $6.60