Charlie has a collection of marbles in three sizes, small, medium, and large. He has four times as many small marbles as medium marbles. The number of large marbles is three more than five times the number of medium marbles. Define a variable. Write expressions for the small marbles, medium marbles, and large marbles. If Charlie has a total of 103 marbles, how many of each size does he have?

He has 310 small marbles, 62 medium marbles and 188 large

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'.