The number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of ice cream. the pie and ice cream together have 500 calories. how many calories are in each?

130 calories in the ice cream and 500 calories in the pie.

Step-by-step explanation:

Let the amount of calories in the scoop of ice cream be x. the amount of calories in the piece of pie be 3x-20. we know that x+3x-20=500.

4x-20=500

If we add twenty to both sides, we end up with:

4x=520

Divide both sides by four, and you get x=130.

there are 130 calories in the scoop of ice cream and 130*4-20=500 calories in the pie.

they are simplified

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.