PSLE A fruit stall sold grapefruits at 70¢ and tomatoes at 40¢ each. Opal bought some grapefruits and Wendy bought some tomatoes from the stall. Wendy spent $0.30 less than Opal, but had 6 fruits more than Opal.
- How many tomatoes did Wendy buy?
- How much did Opal spend on the grapefruits?
|
Grapefruits |
Tomatoes |
Number |
1 u |
1 u + 6 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 2.4 |
(a)
Number of grapefruits that Opal bought = 1 u
Number of tomatoes that Wendy bought = 1 u + 6
Amount that Opal paid = 0.7 x 1 u = 0.7 u
Amount that Wendy paid = 0.4(1 u + 6) = 0.4 u + 2.4
If Wendy spent another $0.30, both Wendy and Opal would spend the same amount.
0.7 u = 0.4 u + 2.4 + 0.3
0.7 u - 0.4 u = 2.4 + 0.3
0.3 u = 2.7
1 u = 2.7 ÷ 0.3 = 9
Number of tomatoes that Wendy bought
= 1 u + 6
= 9 + 6
= 15
(b)
Amount that Opal spent on the grapefruits
= 0.7 u
= 0.7 x 9
= $6.30
Answer(s): (a) 9; (b) $6.30