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. What is the cost of one scarf?

Question

A. $4.00
B. $5.00
C. $6.00
D. $7.00

Answer 1

Let's define the cost of one scarf as $x.

According to the information given, the cost of two hats is $1 more than the cost of one scarf. Therefore, the cost of two hats is x + $1.

We know that the cost of four scarves and six hats is $52.00, so we can set up the equation:

4x + 6(x + $1) = $52.00

Simplifying the equation:

4x + 6x + $6 = $52.00
10x + $6 = $52.00

Subtracting $6.00 from both sides of the equation:

10x = $46.00

Dividing both sides of the equation by 10:

x = $4.60

The cost of one scarf is $4.60.

However, since the options provided are in whole dollars, the closest option is A. $4.00.