PSLE A fruit stall sold coconuts at 70¢ and kiwis at 50¢ each. Mary bought some coconuts and Tammy bought some kiwis from the stall. Tammy spent $0.30 less than Mary, but had 3 fruits more than Mary.
- How many kiwis did Tammy buy?
- How much did Mary spend on the coconuts?
|
Coconuts |
Kiwis |
Number |
1 u |
1 u + 3 |
Value |
0.7 |
0.5 |
Total value |
0.7 u |
0.5 u + 1.5 |
(a)
Number of coconuts that Mary bought = 1 u
Number of kiwis that Tammy bought = 1 u + 3
Amount that Mary paid = 0.7 x 1 u = 0.7 u
Amount that Tammy paid = 0.5(1 u + 3) = 0.5 u + 1.5
If Tammy spent another $0.30, both Tammy and Mary would spend the same amount.
0.7 u = 0.5 u + 1.5 + 0.3
0.7 u - 0.5 u = 1.5 + 0.3
0.2 u = 1.8
1 u = 1.8 ÷ 0.2 = 9
Number of kiwis that Tammy bought
= 1 u + 3
= 9 + 3
= 12
(b)
Amount that Mary spent on the coconuts
= 0.7 u
= 0.7 x 9
= $6.30
Answer(s): (a) 9; (b) $6.30