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.
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.
Thus, the cost of four scarves is 4x, and the cost of six hats is 6(x + $1.00).
Now we can write the equation for the total cost of four scarves and six hats: 4x + 6(x + $1.00) = $52.00
Expanding:
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
So, the cost of one scarf is $4.60, which is closest to $4.00.