audreyburkett12
contestada

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

Respuesta :

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

[tex]\$7.00[/tex]

Step-by-step explanation:

Let

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

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

we know that

[tex]4x+6y=52[/tex] -----> equation A

[tex]2y=x+1[/tex]

[tex]y=\frac{x+1}{2}[/tex] ----> equation B

Substitute equation B in equation A

[tex]4x+6(\frac{x+1}{2})=52[/tex]

Solve for x

[tex]4x+3(x+1)=52[/tex]

[tex]7x+3=52[/tex]

[tex]7x=49[/tex]

[tex]x=\$7.00[/tex]

therefore

the cost of one scarf is [tex]\$7.00[/tex]

Otras preguntas