Question

20 points each!!! Heather has 2 less than 5 times the amount of shoes that Donna has, Gina has 1 more than 2 times

amount of shoes that Donna has. Let x represents how many shoe Donna has.

a. Write an expression that represents how many more pairs of shoes Heather has than Gina.

b. Simplify the expression:

c. How many more pairs of shoes does Heather have is Donna has 14 pairs of shoes?

Answer 1

A. (5x - 2) - (2x +1)

B. x -1

C. 68

Explanation:

Heather = 5 times Donna -2 H = 5D - 2

Gina = 2 times Donna + 1 G = 2D + 1

Plug in D for X and you get

H = 5x -2

G = 2x + 1

If Heather's expression is 5x -2 and Gina's expression is 2x + 1 then to show how many more Heather has than Gina. You have to subtract Gina from Heather.

(5x - 2) - (2x +1)

Now to simplify it, you just combine all the like terms.

5x - 2 - 2x -1 = 3x - 3 and then you can simply this further by dividing all terms by 3. x - 1

To solve how many Heather has if Donna has 14. You substitute 14 for x in Heather's equation. 5 (14) -2 = 70 - 2 = 68