A)

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?
(1 point)
$4.00
$5.00
$6.00
$7.00

1 answer

Let's assume the cost of one scarf is x dollars.
According to the given information, the cost of two hats is $1.00 more than the cost of one scarf, so the cost of two hats is x + $1.00.

Now, we know that the cost of four scarves is 4x dollars, and the cost of six hats is 6(x + $1.00).

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

4x + 6(x + $1.00) = $52.00

Simplifying the equation, we get:

4x + 6x + $6.00 = $52.00
10x + $6.00 = $52.00

Subtracting $6.00 from both sides of the equation, we have:

10x = $46.00

Dividing both sides of the equation by 10, we get:

x = $4.60

Therefore, the cost of one scarf is $4.60.

Answer: $4.60