he 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
sorry.
If two hats cost $(x+1), then 6 hats cost $3(x+1), not $6(x+1)
Apologies for the mistake. You are correct.
Let's assume the cost of one scarf is $y.
According to the information given, the cost of two hats is $1 more than the cost of one scarf, which means the cost of two hats is $y + $1.
Now, if the cost of one scarf is $y, then the cost of four scarves would be 4y dollars.
Similarly, the cost of six hats would be 3(y + $1) dollars (as three sets of two hats each).
According to the problem, the total cost of four scarves and six hats is $52.00.
So, we can write the equation as: 4y + 3(y + $1) = $52.00
Simplifying the equation, we get: 4y + 3y + 3 = $52.00
Combining like terms, we get: 7y + 3 = $52.00
Subtracting 3 from both sides, we get: 7y = $49.00
Dividing both sides by 7, we get: y = $7.00
Therefore, the cost of one scarf is $7.00.
Let's assume the cost of one scarf is x dollars.
According to the given information, the cost of two hats is $1 more than the cost of one scarf, which means the cost of two hats is x + $1.
Now, if the cost of one scarf is x dollars, then the cost of four scarves would be 4x dollars.
Similarly, the cost of six hats would be 6(x + $1) dollars.
According to the problem, the total cost of four scarves and six hats is $52.00.
So, we can write the equation as: 4x + 6(x + $1) = $52.00
Simplifying 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 = $46.00
Dividing both sides by 10, we get: x = $4.60
Therefore, the cost of one scarf is $4.60.