Question

Select the correct expressions.

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?
3(4x+10y-5)

2(6x + 5y)-15

12xy-15

12x+5(2y-3)


12x+10y-15

Answer 1

Ans #1: 12x + 10y - 15

Ans #2: 2(6x + 5y) - 15

Ans #3: 12x + 5(2y - 3)

Step-by-step explanation:

Goal: See which expression is equal to (12x-10)+(10y-5)

(12x-10)+(10y-5) simplified is Answer #1: 12x + 10y - 15

12x + 10y - 15 can be factored by taking 2 out of the 12x and 10y terms to get the following:

Answer #2: 2(6x + 5y) - 15

12x + 10y - 15 can also be factored by taking 5 out of the 10y and -15 terms to get the following:

Answer #3: 12x + 5(2y - 3)

When looked at individually, the following expressions aren't equal to (12x-10)+(10y-5):

* 3(4x+10y-5)

* 12xy-15