Question

Andrew needs exactly 120 pencils and markers for his class to play the review game he created. The supply closet have boxes of pencils with 12 in each and boxes of markers with six in each

Answer 1

(a) 12x + 6y = 120

(b)
`x = 10- (y)/(2)`

(c)
`y = 20- 2x`

Explanation:

Andrew needs exactly 120 pencils.

The supply closet have boxes of pencils with 12 in each and boxes of markers with 6 in each .

Let x be the number of pencil boxes

and y be the number of marker boxes

12(pencil boxes) + 6(marker boxes) = 120

So equation becomes

12x + 6y = 120

(b)Now solve the equation for x

12x + 6y = 120

Subtract 6y on both sides

12x = 120 - 6y

Divide both sides by 12

`x =  (120)/(12) - (6y)/(12)`

`x = 10- (y)/(2)`

(c)Now solve the equation for x

12x + 6y = 120

Subtract 12x on both sides

6y = 120 - 12x

Divide both sides by 6

`y =  (120)/(6) - (12x)/(6)`

`y = 20- 2x`

Answer 2

Let x represent the number of 12 packs
Let y represent the number of 6 packs
12x+6y=120
Rearrange for x
12x=120-6y
X=10-1/2y
Rearrange for y
6y=120-12x
Y=20-2x
Hope this helps!