PSLE A fruit stall sold peaches at 60¢ and dates at 30¢ each. Wendy bought some peaches and Vanessa bought some dates from the stall. Vanessa spent $1.50 less than Wendy, but had 3 fruits more than Wendy.
- How many dates did Vanessa buy?
- How much did Wendy spend on the peaches?
|
Peaches |
Dates |
Number |
1 u |
1 u + 3 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 0.9 |
(a)
Number of peaches that Wendy bought = 1 u
Number of dates that Vanessa bought = 1 u + 3
Amount that Wendy paid = 0.6 x 1 u = 0.6 u
Amount that Vanessa paid = 0.3(1 u + 3) = 0.3 u + 0.9
If Vanessa spent another $1.50, both Vanessa and Wendy would spend the same amount.
0.6 u = 0.3 u + 0.9 + 1.5
0.6 u - 0.3 u = 0.9 + 1.5
0.3 u = 2.4
1 u = 2.4 ÷ 0.3 = 8
Number of dates that Vanessa bought
= 1 u + 3
= 8 + 3
= 11
(b)
Amount that Wendy spent on the peaches
= 0.6 u
= 0.6 x 8
= $4.80
Answer(s): (a) 8; (b) $4.80