Question

Will mark the brainliest for this answer!!! Really struggling!

Answer 1

Answer:

5 gallons of the 10% fructose solution.

15 gallons of 20% fructose solution

Step-by-step explanation:

You basically have an equation

Some amount of 10% solutions and some amount of 20% are to be combined to get to 17.5

So we can label those two amounts x and y, x being 10% and y being 20%.

We know that x + y (in gallons) must be equal to 20 gallons, so we can do this

x+y = 20

y = 20-x.

Then we can multiply x by 10% = 0.1x, 20-x by 20% which makes 4-0.2x

Then we know that the end result must be 20 gallons of 17.5% so we can multiply those two to get 3.5

Then we can add all of our results.

0.1x + 4 - 0.2x = 3.5

Solve for x

-0.1x = -0.5

x = 5

Now we have what x is, so we now know that there was 5 gallons of the 10% fructose solution.

Then we know that y = 20 - x so y is equal to 20 - 5 which is 15.

So that means that 15 gallons of 20% fructose solution was used.

So the answer is

5 gallons of the 10% fructose solution.

15 gallons of 20% fructose solution.

Hope this helped.