David and Amrita had an equal number of marbles. After Amrita gave 50 marbles to David, he had 5 times as many marbles as her. Find the total number of marbles they had.

150

Step-by-step explanation:

Originally, they had the same number, so they both had x marbles each.

David: x

Amrita: x

Amrita gives 50 marbles to David. Now they have:

David: x + 50

Amrita: x - 50

"he had 5 times as many marbles as her"

x + 50 = 5(x - 50)

x + 50 = 5x - 250

-4x = -300

x = 75

Each had 75 marbles to start with.

75 + 75 = 150

The total is 150.

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'.

answer: do we write it

step-by-step explanation: