PSLE A fruit stall sold peaches at 70¢ and limes at 40¢ each. Julie bought some peaches and Lucy bought some limes from the stall. Julie spent $1.10 more than Lucy, but had 4 fruits fewer than Lucy.
- How many peaches did Julie buy?
- How much did Lucy spend on the limes?
|
Peaches |
Limes |
Number |
1 u |
1 u + 4 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 1.6 |
(a)
Number of peaches that Julie bought = 1 u
Number of limes that Lucy bought = 1 u + 4
Amount that Julie paid = 0.7 x 1 u = 0.7 u
Amount that Lucy paid = 0.4(1 u + 4) = 0.4 u + 1.6
If Lucy spent another $1.10, both Lucy and Julie would spend the same amount.
0.7 u = 0.4 u + 1.6 + 1.1
0.7 u - 0.4 u = 1.6 + 1.1
0.3 u = 2.7
1 u = 2.7 ÷ 0.3 = 9
Number of peaches that Julie bought
= 1 u
= 9
(b)
Amount that Lucy spent on the limes
= 0.4 u + 1.6
= 0.4 x 9 + 1.6
= 3.6 + 1.6
= $5.20
Answer(s): (a) 9; (b) $5.20