Respuesta :
To solve this problem, we can write an equation letting the variable x represent the number of bottles in a box of water (this means that the expression x-1 represents the boxes that have one fewer bottle than a full box).
This allows us to create the following equation:
9 original bottles + 3x (3 full boxes) + 2(x-1) (two boxes with one fewer bottle) = 67 total bottles
OR
9 + 3x + 2(x-1) = 67
Now, we can begin to solve this equation by using the distributive property to get rid of the parentheses on the left side of the equation.
9 + 3x + 2x - 2 = 67
Next, we can combine like terms on the left side of the equation (meaning add the variable terms together and subtract the constant terms).
7 + 5x = 67
Now, we should subtract 7 from both sides of the equation to get the variable term alone on the left side of the equation.
5x = 60
Next, we should divide both sides by 5 to isolate the variable x on the left side of the equation.
x = 12
Therefore, your answer is that there are 12 bottles in a full box.
Hope this helps!
We want to create and solve an algebraic equation that says the number of water bottles in a full box.
The information we have is:
Originally, there are 9 bottles in the refrigerator.
Then he adds 3 full boxes, if each box has N bottles, then he added 3N bottles.
Then he adds 2 boxes with 1 fewer bottle than a full box, then he added 2(N - 1) bottles.
Finally, there are 67 bottles in the refrigerator.
Then, adding all the bottles that he originally had in the refrigerator and the ones he added later, we have:
9 + 3N + 2(N - 1)= 67
Now we can solve this for N
9 + 3N + 2N - 2 = 67
5N + 7 = 67
5N = 67 - 7 = 60
N = 60/5 = 12
N = 12
From this, we can conclude that each full box has 12 bottles.
If you want to learn more, you can read:
https://brainly.com/question/1694150
