A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 80% salt. She wants to obtain 80 ounces of a mixture that is 75% salt. How many ounces of each solution should she use?

108 ounces

Step-by-step explanation:

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

Equation 1: x + y = 180      

Equation2: y = 180 - x

.60x+.85y=.75(180)

.60x+.85y=135      

Multiply both sides of the equation by 100 to remove the decimal points.

60x+85y=3500

60x+85(180 - x)=13500

60x+15300-85x=13500

-25x=-1800

x=72ounces

y=180-72

y=108 ounces          

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: