PSLE A fruit stall sold peaches at 70¢ and oranges at 40¢ each. Sabrina bought some peaches and Shannon bought some oranges from the stall. Shannon spent $0.80 less than Sabrina, but had 7 fruits more than Sabrina.
- How many oranges did Shannon buy?
- How much did Sabrina spend on the peaches?
|
Peaches |
Oranges |
Number |
1 u |
1 u + 7 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 2.8 |
(a)
Number of peaches that Sabrina bought = 1 u
Number of oranges that Shannon bought = 1 u + 7
Amount that Sabrina paid = 0.7 x 1 u = 0.7 u
Amount that Shannon paid = 0.4(1 u + 7) = 0.4 u + 2.8
If Shannon spent another $0.80, both Shannon and Sabrina would spend the same amount.
0.7 u = 0.4 u + 2.8 + 0.8
0.7 u - 0.4 u = 2.8 + 0.8
0.3 u = 3.6
1 u = 3.6 ÷ 0.3 = 12
Number of oranges that Shannon bought
= 1 u + 7
= 12 + 7
= 19
(b)
Amount that Sabrina spent on the peaches
= 0.7 u
= 0.7 x 12
= $8.40
Answer(s): (a) 12; (b) $8.40