Question

PLEASE HELP! NEED TO SUBMIT SOON! NOT SURE IF I GOT THE RIGHT ANSWERS! THANK YOU IN ADVANCE!!!
1.
Jeremiah is making a shake by mixing two different protein powders, measured in ounces. The strawberry-flavored powder has 4 grams of protein per ounce. The banana-flavored powder has 3 grams of protein per ounce. He wants the drink to have a total of 6 ounces of powder and contain 22 grams of protein.

a.
Create a system of linear equations to represent the situation that will determine the exact number of ounces needed for each powder.

b.
Based on the system you wrote, which algebraic method of solving systems of equations will you choose to solve the system? Explain your choice.

c.
Solve the system algebraically, showing your work. Then, interpret the solution by explaining what your solution represents in the context of the problem.

Answer 1

nice

4s=amount of grams of protine in straberry for s ounces
3b=amount of grams of protine in banana for b ouces

total ounces is 6
s+b=6

total grams is 22
4s+3b=22

s+b=6
4s+3b=22
those are the 2 equations

a.
s+b=6
4s+3b=22


b. elmination, we can elminate alll the b's and have 1s left

c.
multiply first equaiton by -3 and add to second

4s+3b=22
-3s-3b=-18 +
1s+0b=4
s=4
sub
s+b=6
4+b=6
minus 4
b=2

4 oz straberry
2 oz banana