PSLE A fruit stall sold guavas at 60¢ and tomatoes at 30¢ each. Winnie bought some guavas and Tina bought some tomatoes from the stall. Winnie spent $0.90 more than Tina, but had 3 fruits fewer than Tina.
- How many guavas did Winnie buy?
- How much did Tina spend on the tomatoes?
|
Guavas |
Tomatoes |
Number |
1 u |
1 u + 3 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 0.9 |
(a)
Number of guavas that Winnie bought = 1 u
Number of tomatoes that Tina bought = 1 u + 3
Amount that Winnie paid = 0.6 x 1 u = 0.6 u
Amount that Tina paid = 0.3(1 u + 3) = 0.3 u + 0.9
If Tina spent another $0.90, both Tina and Winnie would spend the same amount.
0.6 u = 0.3 u + 0.9 + 0.9
0.6 u - 0.3 u = 0.9 + 0.9
0.3 u = 1.8
1 u = 1.8 ÷ 0.3 = 6
Number of guavas that Winnie bought
= 1 u
= 6
(b)
Amount that Tina spent on the tomatoes
= 0.3 u + 0.9
= 0.3 x 6 + 0.9
= 1.8 + 0.9
= $2.70
Answer(s): (a) 6; (b) $2.70