A pie was cut into two equal pieces. Each of the pieces of pie was cut into halves again, and each of those smaller pieces was cut into two equal pieces If two of the pieces of the pie are eaten, what portion of the pie remains?

6 pieces, 6/8

Step-by-step explanation:

You have 8 pieces you take away 2 you get 6.

8-2=6

3/4 of the pie is left.

Step-by-step explanation:

Step 1: Cut the pie into 2 equal pieces. Each piece is 1/2 of the pie.

Step 2: Cut each half in half. Each new smallest piece is now 1/4 of the pie.

Step 3. Cut each 1/4 pie in half. Each new smallest piece is 1/8 of the pie.

Now 2 of the smallest pieces are eaten.

That means 2 of the 1/8 pie size are eaten.

2 * 1/8 = 2/1 * 1/8 = 1/4

1/4 of the pie was eaten.

The remaining part is 1 pie minus 1/4 pie.

1 - 1/4 = 1/1 - 1/4 = 4/4 - 1/4 = 3/4

3/4 of the pie is left.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .