PSLE A fruit stall sold dates at 70¢ and pomegranates at 40¢ each. Betty bought some dates and Tiffany bought some pomegranates from the stall. Tiffany spent $0.80 less than Betty, but had 4 fruits more than Betty.
- How many pomegranates did Tiffany buy?
- How much did Betty spend on the dates?
|
Dates |
Pomegranates |
Number |
1 u |
1 u + 4 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 1.6 |
(a)
Number of dates that Betty bought = 1 u
Number of pomegranates that Tiffany bought = 1 u + 4
Amount that Betty paid = 0.7 x 1 u = 0.7 u
Amount that Tiffany paid = 0.4(1 u + 4) = 0.4 u + 1.6
If Tiffany spent another $0.80, both Tiffany and Betty would spend the same amount.
0.7 u = 0.4 u + 1.6 + 0.8
0.7 u - 0.4 u = 1.6 + 0.8
0.3 u = 2.4
1 u = 2.4 ÷ 0.3 = 8
Number of pomegranates that Tiffany bought
= 1 u + 4
= 8 + 4
= 12
(b)
Amount that Betty spent on the dates
= 0.7 u
= 0.7 x 8
= $5.60
Answer(s): (a) 8; (b) $5.60