Question

There are a few boxes with 12 red pens in each and a few boxes with 10 blue pens in each. If 10 red pens and 5 blue pens are removed, the total number of pens that remains is given by the expression (12x − 10) + (10y − 5). Here, x represents the number of boxes containing red pens and y represents the number of boxes containing blue pens. Which expressions are equivalent to this expression?

Answer 1

Answer with explanation:

x=the number of boxes containing red pens and

y = the number of boxes containing blue pens.

The expression which describes the number of red pen and blue pen in Boxes is

= (12 x-10)+(10 y-5)

The equivalent expression are

1.By Adding like terms

=12 x +1 0 y -10 -5

=12 x +1 0 y -15

or Using Associative Property of addition of three numbers which is

⇒a+(b+c)=(a+b)+c=(a+c)+b

= 10 y +12 x -15

or

= -15 +10 y +12 x

or

= 12 x -15 +10 y

Answer 2

Explanation:

I'll give you a couple, but if you have choices, you should list them.

12x - 10 + 10y - 5

1) 12x + 10y - 15

2) 2(6x + 5y) - 15

3) 12x + 5(2y - 3)

4) 10y + 3(4x - 5)