Question

A knife is 4 times the cost of the spoon. If 12 spoons and 16 knives equal £105.64, what is the cost of one knife?

a) £3.08
b) £2.24
c) £1.56
d) £4.32

Answer 1

The cost of one knife is £6.24.

Step-by-step explanation:

To find the cost of one knife, we need to set up a system of equations based on the given information. Let's say the cost of one spoon is x. According to the problem, the cost of one knife is 4 times the cost of one spoon, so the cost of one knife is 4x.

We can use the equation 12x + 16(4x) = £105.64 to represent the total cost of 12 spoons and 16 knives. By calculating the equation, we find that x = £1.56. Therefore, the cost of one knife is 4(£1.56) = £6.24.