PSLE A fruit stall sold avocados at 90¢ and pears at 70¢ each. Tina bought some avocados and Lucy bought some pears from the stall. Lucy spent $0.30 less than Tina, but had 3 fruits more than Tina.
- How many pears did Lucy buy?
- How much did Tina spend on the avocados?
|
Avocados |
Pears |
Number |
1 u |
1 u + 3 |
Value |
0.9 |
0.7 |
Total value |
0.9 u |
0.7 u + 2.1 |
(a)
Number of avocados that Tina bought = 1 u
Number of pears that Lucy bought = 1 u + 3
Amount that Tina paid = 0.9 x 1 u = 0.9 u
Amount that Lucy paid = 0.7(1 u + 3) = 0.7 u + 2.1
If Lucy spent another $0.30, both Lucy and Tina would spend the same amount.
0.9 u = 0.7 u + 2.1 + 0.3
0.9 u - 0.7 u = 2.1 + 0.3
0.2 u = 2.4
1 u = 2.4 ÷ 0.2 = 12
Number of pears that Lucy bought
= 1 u + 3
= 12 + 3
= 15
(b)
Amount that Tina spent on the avocados
= 0.9 u
= 0.9 x 12
= $10.80
Answer(s): (a) 12; (b) $10.80