PSLE A fruit stall sold tomatoes at 60¢ and limes at 30¢ each. Abi bought some tomatoes and Elyse bought some limes from the stall. Abi spent $1.80 more than Elyse, but had 5 fruits fewer than Elyse.
- How many tomatoes did Abi buy?
- How much did Elyse spend on the limes?
|
Tomatoes |
Limes |
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 Abi bought = 1 u
Number of limes that Elyse bought = 1 u + 5
Amount that Abi paid = 0.6 x 1 u = 0.6 u
Amount that Elyse paid = 0.3(1 u + 5) = 0.3 u + 1.5
If Elyse spent another $1.80, both Elyse and Abi would spend the same amount.
0.6 u = 0.3 u + 1.5 + 1.8
0.6 u - 0.3 u = 1.5 + 1.8
0.3 u = 3.3
1 u = 3.3 ÷ 0.3 = 11
Number of tomatoes that Abi bought
= 1 u
= 11
(b)
Amount that Elyse spent on the limes
= 0.3 u + 1.5
= 0.3 x 11 + 1.5
= 3.3 + 1.5
= $4.80
Answer(s): (a) 11; (b) $4.80