Answer:
Equation is [tex]0.5 \text{ gal }\times(0.1)+ x\text{ gal }\times (0.35)=(0.5 + x)\times (0.15)[/tex]
0.125 gallons of the 35% acid solution Eli should add.
Step-by-step explanation:
Given : Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution.
To find : Equation can you use to determine how many gallons of the 35% acid solution Eli should add?
Solution :
Let x be the gallons of the 35% acid solution.
According to question,
For 0.5 gallon of a 10% acid solution = [tex]0.5\times 0.1[/tex]
For x gallon of a 35% acid solution = [tex]x\times 0.35[/tex]
For (0.5+x) gallon of a 15% acid solution = [tex]0.5+x\times 0.15[/tex]
The equation form is
[tex]0.5 \text{ gal }\times(0.1)+ x \text{ gal }\times(0.35)= (0.5+x)\times (0.15)[/tex]
Solving the above equation,
[tex]0.05+0.35x = 0.075 + 0.15x[/tex]
[tex]0.2x = 0.025[/tex]
[tex]x =\frac{0.025}{0.2}[/tex]
[tex]x=0.125[/tex]
Therefore, 0.125 gallons of the 35% acid solution Eli should add.
The equation is [tex]0.5 \text{ gal }\times(0.1) + x \text{ gal }\times(0.35) =(0.5 + x)\times (0.15)[/tex]
Answer:
A: (0.10)(0.5) + 0.35g = 0.15(g+ 0.5)
Step-by-step explanation:
just took the test
