Question

A muffin calls for 3/4 cups sugar for 3 dozen muffins. How much sugar will you use to make 8 dozen muffins?

Answer 1

(3/4):3
x: 8

cross-multiply.

(3/4)*8 = 3x
3x = 6
x=2

Answer 2

thank you but I am still a little confused... :(

Answer 3

hmm. well it's a ratio problem.
So 3/4 cups of sugar gives 3 dozen.
that means:

(3/4) : 3 (<-- that's just the notation)

so now you have a case where you have 8 dozen cookies.
but you don't know how much sugar is needed.
So let's make the amount of sugar needed to be x.

x cups of sugar gives 8 dozen cookies.
that means:

x : 8

When you have this kind of ratio, you can cross multiply.

So (3/4) * 8 = 3x.
(3/4)*8 = 6.

So 6 = 3x.
x therefore equals 2 cups.

hopefully that makes more sense. :)

Answer 4

Thank you...I got the answer 2 but I did it a little different and just wasn't sure if it was just a accident...I multiplied 3/4 by 8/1 which gave me 24/4 which equals 6 and then divided by 3. which would equal 2.