PSLE A fruit stall sold tomatoes at 60¢ and guavas at 40¢ each. Shannon bought some tomatoes and Nicole bought some guavas from the stall. Nicole spent $0.20 less than Shannon, but had 3 fruits more than Shannon.
- How many guavas did Nicole buy?
- How much did Shannon spend on the tomatoes?
|
Tomatoes |
Guavas |
Number |
1 u |
1 u + 3 |
Value |
0.6 |
0.4 |
Total value |
0.6 u |
0.4 u + 1.2 |
(a)
Number of tomatoes that Shannon bought = 1 u
Number of guavas that Nicole bought = 1 u + 3
Amount that Shannon paid = 0.6 x 1 u = 0.6 u
Amount that Nicole paid = 0.4(1 u + 3) = 0.4 u + 1.2
If Nicole spent another $0.20, both Nicole and Shannon would spend the same amount.
0.6 u = 0.4 u + 1.2 + 0.2
0.6 u - 0.4 u = 1.2 + 0.2
0.2 u = 1.4
1 u = 1.4 ÷ 0.2 = 7
Number of guavas that Nicole bought
= 1 u + 3
= 7 + 3
= 10
(b)
Amount that Shannon spent on the tomatoes
= 0.6 u
= 0.6 x 7
= $4.20
Answer(s): (a) 7; (b) $4.20