PSLE A fruit stall sold papayas at 70¢ and mangosteens at 40¢ each. Shannon bought some papayas and Emily bought some mangosteens from the stall. Shannon spent $0.50 more than Emily, but had 4 fruits fewer than Emily.
- How many papayas did Shannon buy?
- How much did Emily spend on the mangosteens?
|
Papayas |
Mangosteens |
Number |
1 u |
1 u + 4 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 1.6 |
(a)
Number of papayas that Shannon bought = 1 u
Number of mangosteens that Emily bought = 1 u + 4
Amount that Shannon paid = 0.7 x 1 u = 0.7 u
Amount that Emily paid = 0.4(1 u + 4) = 0.4 u + 1.6
If Emily spent another $0.50, both Emily and Shannon would spend the same amount.
0.7 u = 0.4 u + 1.6 + 0.5
0.7 u - 0.4 u = 1.6 + 0.5
0.3 u = 2.1
1 u = 2.1 ÷ 0.3 = 7
Number of papayas that Shannon bought
= 1 u
= 7
(b)
Amount that Emily spent on the mangosteens
= 0.4 u + 1.6
= 0.4 x 7 + 1.6
= 2.8 + 1.6
= $4.40
Answer(s): (a) 7; (b) $4.40