PSLE A fruit stall sold tomatoes at 60¢ and coconuts at 30¢ each. Barbara bought some tomatoes and Tiffany bought some coconuts from the stall. Barbara spent $0.90 more than Tiffany, but had 5 fruits fewer than Tiffany.
- How many tomatoes did Barbara buy?
- How much did Tiffany spend on the coconuts?
|
Tomatoes |
Coconuts |
Number |
1 u |
1 u + 5 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 1.5 |
(a)
Number of tomatoes that Barbara bought = 1 u
Number of coconuts that Tiffany bought = 1 u + 5
Amount that Barbara paid = 0.6 x 1 u = 0.6 u
Amount that Tiffany paid = 0.3(1 u + 5) = 0.3 u + 1.5
If Tiffany spent another $0.90, both Tiffany and Barbara would spend the same amount.
0.6 u = 0.3 u + 1.5 + 0.9
0.6 u - 0.3 u = 1.5 + 0.9
0.3 u = 2.4
1 u = 2.4 ÷ 0.3 = 8
Number of tomatoes that Barbara bought
= 1 u
= 8
(b)
Amount that Tiffany spent on the coconuts
= 0.3 u + 1.5
= 0.3 x 8 + 1.5
= 2.4 + 1.5
= $3.90
Answer(s): (a) 8; (b) $3.90