A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 90% salt. She wants to obtain 180 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?

72 ounces of Solution A

108 ounces of Solution B

Step-by-step explanation:

If a is ounces of Solution A, and b is ounces of Solution B, then the total amount is:

a + b = 180

The total amount of salt is:

0.65a + 0.90b = 0.80(180)

Substitute:

0.65a + 0.90(180 − a) = 0.80(180)

0.65a + 162 − 0.90a = 144

0.25a = 18

a = 72

b = 108

£56

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'.