Question

Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. Which equation can you use to determine how many gallons of the 35% acid solution Eli should add?

Answer 1

Answer:

Equation is $0.5 \text{ gal }\times(0.1)+ x\text{ gal }\times (0.35)=(0.5 + x)\times (0.15)$

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 = $0.5\times 0.1$

For x gallon of a 35% acid solution = $x\times 0.35$

For (0.5+x) gallon of a 15% acid solution = $0.5+x\times 0.15$

The equation form is

$0.5 \text{ gal }\times(0.1)+ x \text{ gal }\times(0.35)= (0.5+x)\times (0.15)$

Solving the above equation,

$0.05+0.35x = 0.075 + 0.15x$

$0.2x = 0.025$

$x =\frac{0.025}{0.2}$

$x=0.125$

Therefore, 0.125 gallons of the 35% acid solution Eli should add.

The equation is $0.5 \text{ gal }\times(0.1) + x \text{ gal }\times(0.35) =(0.5 + x)\times (0.15)$

Answer 2

(0.10) (0.5) + 0.35g = 0.15(g+0.5)