Question

Simultaneous equations a knife is three times the cost of a spoon 9 spoons and 12 knives cost $82.80work out the cost of 1 knife

Answer 1

The cost of 1 knife is $5.52.

Step-by-step explanation:

Let the cost of one knife represents by 'k' and the cost of one spoon represents by 's'.

As per statement "a knife is three times the cost of a spoon." the equation is

k = 3s  -------(1)

9s + 12k = 82.80 ---------(2)

Now put the value of k in equation (2)

9s + 12(3s) = 82.80

9s + 36s = 82.80

45s = 82.80

s = $\frac{82.80}{45}$

s = $1.84

Put the value of s in equation (1)

k = 3(1.84)

k = $5.52

The cost of 1 knife is $5.52.

Learn more to frame equation : https://brainly.in/question/15283166

Answer 2

Answer:

k = 5.52

s = 1.84

Step-by-step explanation:

Exactly as the answer previously stated