PSLE A fruit stall sold avocados at 90¢ and peaches at 60¢ each. Tiffany bought some avocados and Yen bought some peaches from the stall. Tiffany spent $0.60 more than Yen, but had 2 fruits fewer than Yen.
- How many avocados did Tiffany buy?
- How much did Yen spend on the peaches?
|
Avocados |
Peaches |
Number |
1 u |
1 u + 2 |
Value |
0.9 |
0.6 |
Total value |
0.9 u |
0.6 u + 1.2 |
(a)
Number of avocados that Tiffany bought = 1 u
Number of peaches that Yen bought = 1 u + 2
Amount that Tiffany paid = 0.9 x 1 u = 0.9 u
Amount that Yen paid = 0.6(1 u + 2) = 0.6 u + 1.2
If Yen spent another $0.60, both Yen and Tiffany would spend the same amount.
0.9 u = 0.6 u + 1.2 + 0.6
0.9 u - 0.6 u = 1.2 + 0.6
0.3 u = 1.8
1 u = 1.8 ÷ 0.3 = 6
Number of avocados that Tiffany bought
= 1 u
= 6
(b)
Amount that Yen spent on the peaches
= 0.6 u + 1.2
= 0.6 x 6 + 1.2
= 3.6 + 1.2
= $4.80
Answer(s): (a) 6; (b) $4.80