PSLE A fruit stall sold apples at 70¢ and grapefruits at 50¢ each. Tammy bought some apples and Jade bought some grapefruits from the stall. Tammy spent $0.40 more than Jade, but had 2 fruits fewer than Jade.
- How many apples did Tammy buy?
- How much did Jade spend on the grapefruits?
|
Apples |
Grapefruits |
Number |
1 u |
1 u + 2 |
Value |
0.7 |
0.5 |
Total value |
0.7 u |
0.5 u + 1 |
(a)
Number of apples that Tammy bought = 1 u
Number of grapefruits that Jade bought = 1 u + 2
Amount that Tammy paid = 0.7 x 1 u = 0.7 u
Amount that Jade paid = 0.5(1 u + 2) = 0.5 u + 1
If Jade spent another $0.40, both Jade and Tammy would spend the same amount.
0.7 u = 0.5 u + 1 + 0.4
0.7 u - 0.5 u = 1 + 0.4
0.2 u = 1.4
1 u = 1.4 ÷ 0.2 = 7
Number of apples that Tammy bought
= 1 u
= 7
(b)
Amount that Jade spent on the grapefruits
= 0.5 u + 1
= 0.5 x 7 + 1
= 3.5 + 1
= $4.50
Answer(s): (a) 7; (b) $4.50