audreyburkett12
Answered

8.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?


A.$4.00

B.$5.00

C.$6.00

D.$7.0

Verified Answer :

LaceyBunnyHop

cost of a scarf = s
cost of a hat = h

4s + 6h = 52 --------------eqn(1)
2h = s + 1  ----------------eqn(2)

Solving the equations, we get s = $7
Answer is D

calculista

Answer:

The answer is the option D

\(\$7.00\)

Step-by-step explanation:

Let

x------> the cost of one scarf

y-----> the cost of one hat

we know that

\(4x+6y=52\) -----> equation A

\(2y=x+1\)

\(y=\frac{x+1}{2}\) ----> equation B

Substitute equation B in equation A

\(4x+6(\frac{x+1}{2})=52\)

Solve for x

\(4x+3(x+1)=52\)

\(7x+3=52\)

\(7x=49\)

\(x=\$7.00\)

therefore

the cost of one scarf is \(\$7.00\)

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