Acme inc. spent $810 less on postage than on supplies. the ratio of postage costs to supply costs was 2 to 5. how much did acme spend on postage? solve this problem using algebra.

$540

p = postage
s = supplies

You spend 810 less on postage, so

p = s - 810

The 2nd equation is a ratio

But with cross multiplication, that becomes

2s = 5p

You are then left with the system of equations:

2s = 5p

p = s - 810

You can change the second equation so it becomes

p + 810 = s

and substitute it in for s in the first equation, so you get

2(p + 810) = 5p

2p + 1620 = 5p

1620 = 3p

540 = p

To check it, you can get money spent on supplies by adding 810, which gets 1350, which is indeed makes a 2:5 ratio between postage money and supply money

whats the question?

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: