Devin spent a total of $64 dollars for shoes and a hat. The shoes cost $6 more than the hat. How much did the shoes cost? Let shoes be represented by x and hats be represented by y.

A. $38

B. $26

C. $35

D. $29

Question

Devin spent a total of $64 dollars for shoes and a hat. The shoes cost $6 more than the hat. How much did the shoes cost?  Let shoes be represented by x and hats be represented by y.

		
A. $38

		
B. $26

		
C. $35

		
D. $29

opcode · Answer

Set up a system of equations:
$$64 = x + y \
   x = 6 + y$$

$$64 = (6 + y) + y \
   64 = 2y + 6 \
   64 - 6 = 2y \
   58 = 2y \
   58 \div 2 = y \
   29 = y
$$

Now that you know $y = 29$ sub that into the original equation and solve for $x$.

anonymous · Answer

So its d.

opcode · Answer

No, we want to find how much the shoes cost.
$y$ is the hats. 

Remember that the shoes are $6$ more than the hats so:
$29+6 = x$

anonymous · Answer

C.

opcode · Answer

Correct!

To fact check this we do:
$35 + 29 = 64$
Which is true, so you are correct.

anonymous · Answer

yes well thank you do you think you can help me again please ?

opcode · Answer

I can try, just open a new thread.