Question

Ill give a medal!!!!

Answer 1

1. The manager of a fish store has water that is 10% salt and water that is 25% salt. He needs to fill an aquarium with 5 gallons of water that is 20% salt.
a. Write a system of linear equations that you can use to determine how many gallons of each type of salt water the manager should combine. Be sure to define your variables.
b. Solve the system and determine how many gallons of each type of salt water the manager should combine. Show all your work.

Answer 2

@polkapen ok lets start with question 1
x will be your amount of 10% of salt and y your amount of 25% of salt
x + y = 5, got it so far?

Answer 3

yes

Answer 4

next you need to find your ratio of x to y the independent of the actual volume
x / 10 + y / 4 = (x+y) / 5
4x + 10y = 8x + 8y
4x = 2y
y = 2x

Answer 5

ok

Answer 6

next you'll bring in the total volume
x + y = 5, x + 2x = 5, 3x = 5, x = 5/3, y = 2x = 10/3

so lets get down to the answer
y = 5 - x
salt from x + salt from y = will be the total salt in the mix
.10 x + .25 (5 - x) = .2 * 5 = 1
10x + 125 - 25x = 100
-15x = -25
x = 5/3
y = 5 - 5/3 = 10/3 <- your answer