Patrick needs to mix 2.5 pints of liquid lemonade concentrate to make lemonade. he wants to make 15 pints of lemonade. how much lemonade concentrate will he need?

For this problem, we need to do a Proportion.

Definition: A Proportion is a new way of combining Ratio tables and Equivalent ratios.

To solve this problem, we need to figure out the third number, so to make this reasonable 3 pints equals 1 lemonade concentrate.

So 3/1 = 15/?

We got our problem set up now!
But wait, we need to label so we know where to put what number. So this is your actual problem:

3 pints = 15 pints

1 L.C. = ? L.C.

So to solve this equation we need to find the missing, so we need to look at the numerators, how does 3 get to 15?

That’s right, 5 times.

But,”Whatever we do to the top, we have to do to the bottom.

So 1 x 5 equals 5. So your work should look like this:

3 pints = 15 pints

1 L.C = 5 L.C

Then last, take your answer out, it’s 5 L.C.

Keywords:

Ratio Table

Pints

Proportions

Equivalent Ratios

What we did this whole time:

We learned about how to solve Proportions with fractions, labels, simple multiplication and division.

Hope this helps, have a great night.

(-14+3/2b) - (1+8/2b) = -5 -5/2b(-10+b) + (7b-5) = 8b-15(7/2b-3) - (8+6b) = -5/2b-11(5+2b) + (2b+3/2) = 4b+ 13/2