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?
Answers)
A) $4.00
B) $5.00
C) $6.00
D) $7.00
Let's represent the cost of one scarf as x.
According to the second statement, 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 given that four scarves and six hats together cost $52.00. So, we can create the following equation:
4x + 6(x + $1) = $52.00
Simplifying the equation, we get:
4x + 6x + $6 = $52.00
Combining like terms, we have:
10x + $6 = $52.00
Now, subtract $6 from both sides of the equation:
10x = $46.00
Divide both sides by 10:
x = $4.60
Therefore, the cost of one scarf is $4.60, which is closest to $4.00.
So, the correct answer is A) $4.00.