Question

The cost of four scarves and six hats is $52.00. The cost of two hats is $1.00 more than the cost of one scarf.

a. What is a system of equations to represent the solution?

b. What is the cost of one scarf?

c. What is the cost of one hat?

Answer 1

Let's say that the cost of a scarf= s and the cost of a hat = h.

a. 4s + 6h = 52 ; 2h = s + 1
so, solve for s using the second equation.
s = 2h - 1
Then substitute into the first equation.

4(2h - 1) + 6h = 52
Solve for h.

8h - 4 + 6h = 52
14h - 4 = 52
14h = 56
h = 56/14
h = 4

Then solve for s by substituting the h value (14) into s = 2h -1

s = 2(4) - 1
s = 7

Answer 2

Is this the answer?