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
$7.00
Let's assume the cost of one scarf is x.
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.
Four scarves would then cost 4x, and six hats would cost 6(x + $1.00).
We are given that the total cost of four scarves and six hats is $52.00.
So, we can create the equation: 4x + 6(x + $1.00) = $52.00.
Simplifying the equation: 4x + 6x + $6.00 = $52.00.
Combining like terms: 10x + $6.00 = $52.00.
Subtracting $6.00 from both sides: 10x = $46.00.
Dividing both sides by 10: x = $4.60.
Therefore, the cost of one scarf is $4.60.