Question

There are seven water bottles in Devin's refrigerator. He adds four full boxes of water bottles to the refrigerator. Then he adds two more boxes that each has 2 fewer bottle than a full box. When he is done, there are 93 bottles in the refrigerator. Write and solve an equation to find the number of bottles in a full box. Don't forget your sentence.

Answer 1

The number of bottles in a full box is 15.

Step-by-step explanation:

Let x be the number of bottles in a full box. After Devin adds four full boxes of water bottles, there are 7 + 4x bottles in the refrigerator. Then he adds two more boxes that each has 2 fewer bottles than a full box, so the total number of bottles added is 2 * (x - 2). The final number of bottles in the refrigerator is 93, so the equation can be written as:

7 + 4x + 2 * (x - 2) = 93

Simplify the equation:

7 + 4x + 2x - 4 = 93

Combine like terms:

6x + 3 = 93

Subtract 3 from both sides:

6x = 90

Divide both sides by 6:

x = 15

Therefore, there are 15 bottles in a full box.