PSLE A fruit stall sold peaches at 70¢ and pomegranates at 40¢ each. Raeann bought some peaches and Emily bought some pomegranates from the stall. Emily spent $1.30 less than Raeann, but had 2 fruits more than Raeann.
- How many pomegranates did Emily buy?
- How much did Raeann spend on the peaches?
|
Peaches |
Pomegranates |
Number |
1 u |
1 u + 2 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 0.8 |
(a)
Number of peaches that Raeann bought = 1 u
Number of pomegranates that Emily bought = 1 u + 2
Amount that Raeann paid = 0.7 x 1 u = 0.7 u
Amount that Emily paid = 0.4(1 u + 2) = 0.4 u + 0.8
If Emily spent another $1.30, both Emily and Raeann would spend the same amount.
0.7 u = 0.4 u + 0.8 + 1.3
0.7 u - 0.4 u = 0.8 + 1.3
0.3 u = 2.1
1 u = 2.1 ÷ 0.3 = 7
Number of pomegranates that Emily bought
= 1 u + 2
= 7 + 2
= 9
(b)
Amount that Raeann spent on the peaches
= 0.7 u
= 0.7 x 7
= $4.90
Answer(s): (a) 7; (b) $4.90