Answer:
Let x be the cost of 1 kg of mushrooms and y be the cost of 1 kg of turnips.
From the given information, we can form two equations:
2x + 2.5y = 8.55 (Equation 1)
3x + 4y = 13.10 (Equation 2)
To solve for x and y, we can use the method of elimination. Multiplying Equation 1 by 4 and Equation 2 by -2, we get:
8x + 10y = 34.20 (Equation 3)
-6x - 8y = -26.20 (Equation 4)
Adding Equation 3 and Equation 4, we get:
2x + 2y = 8
Simplifying this equation, we get:
x + y = 4 (Equation 5)
Now we have two equations: Equation 2 and Equation 5. We can solve for x and y using substitution or elimination. Here, we will use substitution.
From Equation 5, we can express x in terms of y as:
x = 4 - y
Substituting this expression for x into Equation 2, we get:
3(4 - y) + 4y = 13.10
Simplifying and solving for y, we get:
y = £1.50
Substituting this value for y into Equation 5, we can solve for x:
x + £1.50 = 4
x = £2.50
Therefore, the cost of 1 kg of mushrooms is £2.50 and the cost of 1 kg of turnips is £1.50.
a) The cost of 1 kg of turnips is £1.50.
b) The cost of 1 kg of mushrooms is £2.50.