6. Place your work for both Part A and B in the space provided. Part A: Select the option that best fits the scenario.
Gloria earned $400. She needed $320 for a new Chromebook.
What percent of the amount earned is the amount needed?
Which is the correct expression of this situation? (a or b)
a) 400 is what percent of 320?
b) 320 is what percent of 400?
Part B: Show your work to find the percent.

9514 1404 393

  A:  (b) 320 is what percent of 400

  B:  80%

Step-by-step explanation:

Part A:

This is a reading comprehension question. You are told that ...

  $320 is the amount needed

  $400 is the amount earned

and you are asked to find ...

  what percent of the amount earned is the amount needed?

The question can be rephrased as ...

  the amount needed is what percent of the amount earned?

Filling in the amounts you are told, the rephrased question becomes ...

  $320 is what percent of $400 . . . . . matches choice (b)

__

Part B:

If we let x represent "what percent", then we can write the above question as ...

  320 = x · 400

Dividing by 400 gives ...

  320/400 = x = 0.80 = 80%

That is, 320 is 80% of 400.

you can't solve x because it is 2 linear equation and you only have one equation

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 .