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
$5.00
$6.00
$7.00
Let's assume the cost of one scarf is $x.
According to the information given, the cost of two hats is $1.00 more than the cost of one scarf. So the cost of two hats is $(x + $1).
Since the cost of four scarves and six hats is $52.00, we can set up the equation:
4x + 6(x + $1) = $52.00
Expanding this equation, we get:
4x + 6x + $6 = $52.00
Combining like terms, we get:
10x + $6 = $52.00
Subtracting $6 from both sides, we get:
10x = $46.00
Dividing both sides by 10, we get:
x = $4.60
Since we are dealing with money, we can round this to the nearest cent, which is $4.00.
Therefore, the cost of one scarf is $4.00.
The correct answer is $4.00.
are you sure
Apologies for the confusion. Let's re-evaluate the problem.
Let the cost of one scarf be $x.
According to the information given, the cost of two hats is $1.00 more than the cost of one scarf. So the cost of two hats is $(x + $1).
We are told that the cost of four scarves and six hats is $52.00, so we can set up the equation:
4x + 6(x + $1) = $52.00
Expanding this equation, we get:
4x + 6x + $6 = $52.00
Combining like terms, we get:
10x + $6 = $52.00
Subtracting $6 from both sides, we get:
10x = $52.00 - $6 = $46.00
Dividing both sides by 10, we get:
x = $46.00 / 10 = $4.60
So the cost of one scarf is $4.60.
Apologies for the confusion earlier. The correct answer is $4.60, which can be rounded to $4.00.
the answer is $7.00
Apologies for the misunderstanding.
Let's re-evaluate the problem.
Let the cost of one scarf be $x.
According to the information given, the cost of two hats is $1.00 more than the cost of one scarf. So the cost of two hats is $(x + $1).
We are told that the cost of four scarves and six hats is $52.00, so we can set up the equation:
4x + 6(x + $1) = $52.00
Expanding the equation, we get:
4x + 6x + $6 = $52.00
Combining like terms, we get:
10x + $6 = $52.00
Subtracting $6 from both sides, we get:
10x = $52.00 - $6 = $46.00
Dividing both sides by 10, we get:
x = $46.00 / 10 = $4.60
Apologies once again for the confusion. The cost of one scarf is $4.60, not $7.00.