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) Responses $4.00 $4.00 $5.00 $5.00 $6.00 $6.00 $7.00
Let's assume the cost of one scarf is $x.
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.
The cost of four scarves would be 4x, and the cost of six hats would be 6(x + $1.00).
From the first statement, we know that the cost of four scarves and six hats is $52.00, so we can write the equation:
4x + 6(x + $1.00) = $52.00
Simplifying the equation:
4x + 6x + $6.00 = $52.00
10x + $6.00 = $52.00
10x = $52.00 - $6.00
10x = $46.00
x = $46.00 / 10
x = $4.60
Therefore, the cost of one scarf is $4.60, or $4.00.