Twelve gallons of a salt solution consists of 35\% salt. It is t

waigaK

waigaK

Answered question

2021-08-18

Twelve gallons of a salt solution consists of 35% salt. It is the result of mixing a 55% solution with a 25% solution. How many gallons of each of the solutions was used? Let x= the number of gallons of the 55% solution and y= the number of gallons of the 25% solution. The corresponding modeling system is {x+y=120.55x+0.25y=0.35(12) Solve the system by using the method of substitution and what is the ordered pair?

Answer & Explanation

Lacey-May Snyder

Lacey-May Snyder

Skilled2021-08-19Added 88 answers

Step 1
Given system is x+y=12(1)
0.55x+0.25y=0.35(12)(2)
We solve this system using substitution
Step 2
From (1)y=12x(3)
We substitute y=12x in (2) we get
0.55x+0.25(12x)=0.35x(12)
0.55x+30.25x=4.2
0.3x=4.23
0.3x=1.2
x=1.20.3=1210310=1210×103=4
From (3) y=124=8
Hence the solution (x,y)=(4,8)

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