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

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.