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?

Step-by-step 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)

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