2. 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.

Question

2.	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.

anonymous · Answer

10x+25y=20(x+y)
x+y=5

anonymous · Answer

ok so what part of this do you not understand

anonymous · Answer

None of it... -_-

anonymous · Answer

umm ok wow, hold on i'll try and solve it

anonymous · Answer

10 percent   5/3 gallons
25 percent    10/3 gallons

mathstudent55 · Answer

@COUNTRY_BOY_HATES_PCS 
Do you understand it now?

anonymous · Answer

Let x = amount of 10% salt and y = amount of 25% salt
 x + y = 5

 Two ways (which are quite equivalent):

 #1: Find ratio of x to y, independent of the actual volume:

 x / 10 + y / 4 = (x + y) / 5
 4x + 10y = 8x + 8y
 4x = 2y
 y = 2x

 Then bring in the total volume: x + y = 5
 x + 2x = 5 
 3x = 5, x = 5/3, y = 2x = 10/3

 #2 More traditional method
 y = 5 - x
 (Salt from x) + (salt from y) = (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

anonymous · Answer

http://www.algebra.com/algebra/homework/word/Linear_Equations_And_Systems_Word_Problems.faq.question.684153.html that might help