Step by step
The question
Question: which is the better buy, A: $12 for 4 pounds, or B: $20 for 5 pounds?
The amounts are different, so we can't just look at the prices.
We find the price for 1 pound in each deal.
1 Write both as fractions
We write each deal as a fraction.
The money goes on top.
The pounds go on the bottom.
2 Divide to get 1 at the bottom
We want 1 pound on the bottom.
In A, we divide the top and the bottom by 4.
In B, we divide them by 5.
12 divided by 4 is 3.
20 divided by 5 is 4.
So A is 3 dollars per pound.
B is 4 dollars per pound.
3 Compare
3 dollars is less than 4 dollars.
Deal A costs less for each pound.
So deal A is the better buy.
Let's look back.
First: write both as fractions.
Then: divide to get 1 at the bottom.
Last: compare.