Question

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

Answer 1

The answer is the option D

`\$7.00`

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=(x+1)/(2)` ----> equation B

Substitute equation B in equation A

`4x+6((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`