8 of 88 of 8 Items 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. 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 Skip to navigation
Let's assume the cost of one scarf is x dollars.
Therefore, the cost of one hat is x + $1.00.
The total cost of four scarves is 4x dollars.
The total cost of six hats is 6(x + $1.00).
The sum of these two costs is $52.00.
So, we can write the equation as:
4x + 6(x + $1.00) = $52.00
Simplifying this equation, we get:
4x + 6x + $6.00 = $52.00
10x + $6.00 = $52.00
10x = $52.00 - $6.00
10x = $46.00
Dividing both sides by 10, we get:
x = $46.00 / 10
x = $4.60
Therefore, the cost of one scarf is $4.60 or $4.00.