Question

It takes 2 2 ⁄3 spoons of chocolate syrup to make 2 2 ⁄4 gallons of chocolate milk. How many spoons of syrup would it take to make 3 gallons of chocolate milk?
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Answer 1

Answer:

3 1/5 spoons of chocolate syrup.

Step-by-step explanation:

You should try to convert mixed numbers into improper fractions because they are easier to work with. You can do this by multiplying the whole number by the denominator and then adding the numerator:

2 2/3 = 8/3

2 2/4 = 10/4 = 5/2

Now we need to set up a ratio:

(8/3)/(5/2)

So now we know the existing ratio of syrup over milk, we need to set up the unknown ratio. I'll use x as the variable:

x/3 (I put the gallons of milk on the bottom because in the previous ratio we also put the milk on the bottom. X means that we don't know the number yet.)

Now we set these two ratios equal to each other:

(8/3)/(5/2)=x/3

Then we cross multiply and set up an equation:

3*(8/3)=(5/2)x

Now we just solve:

8=(5/2)x

8*(2/5)=(2/5)*(5/2)x

16/5=x

3 1/5 = x