PSLE A fruit stall sold tomatoes at 90¢ and avocados at 60¢ each. Joelle bought some tomatoes and Erika bought some avocados from the stall. Joelle spent $0.30 more than Erika, but had 2 fruits fewer than Erika.
- How many tomatoes did Joelle buy?
- How much did Erika spend on the avocados?
|
Tomatoes |
Avocados |
Number |
1 u |
1 u + 2 |
Value |
0.9 |
0.6 |
Total value |
0.9 u |
0.6 u + 1.2 |
(a)
Number of tomatoes that Joelle bought = 1 u
Number of avocados that Erika bought = 1 u + 2
Amount that Joelle paid = 0.9 x 1 u = 0.9 u
Amount that Erika paid = 0.6(1 u + 2) = 0.6 u + 1.2
If Erika spent another $0.30, both Erika and Joelle would spend the same amount.
0.9 u = 0.6 u + 1.2 + 0.3
0.9 u - 0.6 u = 1.2 + 0.3
0.3 u = 1.5
1 u = 1.5 ÷ 0.3 = 5
Number of tomatoes that Joelle bought
= 1 u
= 5
(b)
Amount that Erika spent on the avocados
= 0.6 u + 1.2
= 0.6 x 5 + 1.2
= 3 + 1.2
= $4.20
Answer(s): (a) 5; (b) $4.20