Question

There are nine water bottles in​ Devin's refrigerator. He adds three full boxes of water bottles to the refrigerator. Then he adds two more boxes that each has 1 fewer bottle than a full box. When he is​ done, there are 67 bottles in the refrigerator. Write and solve an equation to find the number of bottles in a full box. i need an equation

Answer 1

12

Step-by-step explanation:

let bottles in full boxes be x, then,atq

9+ 3x + 2(x-1) = 67

9+3x+2x-2-67=0

-60+5x=0

5x=60

x=12

Answer 2

given,

Water bottles = 9

Full boxes =3

=67

Find:

The number of bottles in a full box =?

let bottles in full boxes be x,

Equation is

9+ 3x + 2(x-1) = 67

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\9+3x+2\left(x-1\right)-9=67-9\\3x+2\left(x-1\right)=58\\3x+2x-2=58\\\mathrm{Add\:similar\:elements:}\:3x+2x=5x\\5x-2=58\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\5x-2+2=58+2\\5x=60\\\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{60}{5}\\x=12$

Hence, the correct answer is x=12.