PSLE A fruit stall sold dates at 60¢ and pomegranates at 30¢ each. Jean bought some dates and Cindy bought some pomegranates from the stall. Cindy spent $1.80 less than Jean, but had 2 fruits more than Jean.
- How many pomegranates did Cindy buy?
- How much did Jean spend on the dates?
|
Dates |
Pomegranates |
Number |
1 u |
1 u + 2 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 0.6 |
(a)
Number of dates that Jean bought = 1 u
Number of pomegranates that Cindy bought = 1 u + 2
Amount that Jean paid = 0.6 x 1 u = 0.6 u
Amount that Cindy paid = 0.3(1 u + 2) = 0.3 u + 0.6
If Cindy spent another $1.80, both Cindy and Jean would spend the same amount.
0.6 u = 0.3 u + 0.6 + 1.8
0.6 u - 0.3 u = 0.6 + 1.8
0.3 u = 2.4
1 u = 2.4 ÷ 0.3 = 8
Number of pomegranates that Cindy bought
= 1 u + 2
= 8 + 2
= 10
(b)
Amount that Jean spent on the dates
= 0.6 u
= 0.6 x 8
= $4.80
Answer(s): (a) 8; (b) $4.80