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. .

Answer 1

We are given with two solutions: 10% salt and 25% salt solutions. We are in need of 5 gallons of 20% salt. The linear equations are 0.10 x + 0.25 y = 5 *0.20 and x + y = 5 where x is the volume needed of the 10 % salt solution and y is the volume needed of the 25 % percent solution. Solving the two equations simultaneously, x is equal to 1.67 gallons and y is equal to 3.33 gallons.