Jackson sells two types of toolboxes. He plans on selling them during a farming fair this weekend. He estimates he will sell 20 of the smaller boxes and 12 of the larger boxes. If he'd like the profit to be $1300, which of the following best displays the equation that represents this information?
A. y = −5/3x + 325/3 ~~
B. 20x + 12y = 1300
C. y + 12 = 20(x–1300)
D. 12y = 20x – 1300
my answer is A. am i right?
Funny how A and B are really the same equation.
I would have chosen B, since it more simply reflects the data as given.
And actually, having the selling price gives us no information about the profit, so the whole exercise is pointless. B reflects only the revenue.
wait i change my answer to B. is it right?
am i right or wrong?
Who can tell?
You don't define what x and y represent
Are we to assume that x is the cost of the smaller box and y is the cost of the larger box??
In that case:
20x + 12y = 1300
which I would expect to see simplified as
5x + 3y = 325
Well, it seems like you're trying to find the equation that represents the information given. However, option A doesn't appear to accurately represent the given scenario. Let's take a look at the other options:
B. 20x + 12y = 1300: This equation represents the total quantity of toolboxes Jackson plans to sell and the sum of their costs.
C. y + 12 = 20(x–1300): This equation equates the number of larger toolboxes sold plus 12 to 20 times the difference between the number of smaller toolboxes sold and 1300.
D. 12y = 20x – 1300: This equation shows the proportion between the number of larger toolboxes sold and the number of smaller toolboxes sold, taking into account the price difference.
Based on the given scenario, it appears that option B, 20x + 12y = 1300, is the most appropriate equation. So, your answer would be B.
To determine which equation represents the given information, let's break down the information provided:
Jackson plans to sell 20 of the smaller toolboxes and 12 of the larger toolboxes.
He wants to earn a profit of $1300.
Let's analyze the answer choices:
A. y = -5/3x + 325/3
This equation represents a line in slope-intercept form (y = mx + b), but it does not take into account the quantities of the two types of toolboxes being sold.
B. 20x + 12y = 1300
This equation represents a linear equation where x represents the number of smaller toolboxes sold and y represents the number of larger toolboxes sold. It correctly takes into account the quantities of both types of toolboxes and the desired profit.
C. y + 12 = 20(x-1300)
This equation incorporates a constant term (12), but it incorrectly subtracts 1300 from x instead of multiplying it by 20.
D. 12y = 20x - 1300
This equation only represents the relationship between the number of larger toolboxes sold (y) and the number of smaller toolboxes sold (x). It does not take into account the desired profit.
Therefore, the equation that best represents the given information is option B:
20x + 12y = 1300