Question

The cost of one hat and one bag is 27 the cost of 2 hats and 1 bag is £42 how much does 1 hat cost

Answer 1

By solving a system of linear equations, it is determined that the cost of one hat is £15.

Step-by-step explanation:

The student's question involves solving a system of linear equations to find the cost of one item, specifically, a hat. Here are the equations based on the given information:

• Cost of one hat (H) and one bag (B) is £27: H + B = 27
• Cost of two hats and one bag is £42: 2H + B = 42

To solve for the cost of one hat, we can subtract the first equation from the second equation:

2H + B = 42
-(H + B = 27)

After subtracting, we get:

H = £15

Hence, the cost of one hat is £15.