Answer :
If the cost of 2 kg of mushrooms and 2.5 kg of turnips is £8.55 and the cost of 3 kg of mushrooms and 4 kg of turnips is £13.10, then cost of 1 kg of turnips is £1.1 and cost of 1 kg of mushrooms is £2.9.
Given that the cost of 2 kg of mushrooms and 2.5 kg of turnips is £8.55 and the cost of 3 kg of mushrooms and 4 kg of turnips is £13.10.
We are required to find the cost of 1 kg of mushrooms and the cost of 1 kg of turnips.
Cost is basically the expenditure that we do in order to buy or produce a product.
Suppose the cost of 1 kg of mushrooms be x and the cost of 1 kg of turnips be y. The equations will be as under:
2x+2.5y=8.55------1
3x+4y=13.10-------2
Equation1 *3 and Equation2 *2.
6x+7.5y=25.65-----3
6x+8y=26.20-------4
Subtract 4 from 3.
6x+7.5y-6x-8y=25.65-26.20
-0.5y=-0.55
y=1.1
Put the value of y in 1.
2x+2.5*1.1=8.55
2x+2.75=8.55
2x=8.55-2.75
2x=5.80
x=2.9
Hence if the cost of 2 kg of mushrooms and 2.5 kg of turnips is £8.55 and the cost of 3 kg of mushrooms and 4 kg of turnips is £13.10, then cost of 1 kg of turnips is £1.1 and cost of 1 kg of mushrooms is £2.9.
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