PSLE A fruit stall sold peaches at 90¢ and pomegranates at 60¢ each. Jaslyn bought some peaches and Jen bought some pomegranates from the stall. Jaslyn spent $1.20 more than Jen, but had 3 fruits fewer than Jen.
- How many peaches did Jaslyn buy?
- How much did Jen spend on the pomegranates?
|
Peaches |
Pomegranates |
Number |
1 u |
1 u + 3 |
Value |
0.9 |
0.6 |
Total value |
0.9 u |
0.6 u + 1.8 |
(a)
Number of peaches that Jaslyn bought = 1 u
Number of pomegranates that Jen bought = 1 u + 3
Amount that Jaslyn paid = 0.9 x 1 u = 0.9 u
Amount that Jen paid = 0.6(1 u + 3) = 0.6 u + 1.8
If Jen spent another $1.20, both Jen and Jaslyn would spend the same amount.
0.9 u = 0.6 u + 1.8 + 1.2
0.9 u - 0.6 u = 1.8 + 1.2
0.3 u = 3
1 u = 3 ÷ 0.3 = 10
Number of peaches that Jaslyn bought
= 1 u
= 10
(b)
Amount that Jen spent on the pomegranates
= 0.6 u + 1.8
= 0.6 x 10 + 1.8
= 6 + 1.8
= $7.80
Answer(s): (a) 10; (b) $7.80