Story problems with a ratio table

You learn to solve a word problem with a ratio table.

How to work it out

  1. Put what you know in the first column: one thing on top, the other underneath.
  2. Put what is asked for on top in the last column.
  3. Go via a step in between, often via 1: divide the top and the bottom by the same number.
  4. Then multiply the top and the bottom by the same number until you get there.

4 kg of apples cost 6 pounds. How much do 10 kg cost?

  1. Put 4 kg and 6 pounds in the first column.
  2. Go to 1 kg: divide both by 4, so 6 ÷ 4 = 1.5 pounds.
  3. Then go to 10 kg: multiply both by 10, so 1.5 × 10 = 15.
  4. It costs 15 pounds.
More examples

In 3 packs there are 12 biscuits. How many biscuits are in 5 packs?

  1. Put 3 packs and 12 biscuits in the first column.
  2. Go to 1 pack: divide by 3, so 12 ÷ 3 = 4 biscuits.
  3. Then go to 5 packs: multiply by 5, so 4 × 5 = 20.
  4. There are 20 biscuits.

2 kg cost 5 pounds. How much do 6 kg cost?

  1. Put 2 kg and 5 pounds in the first column.
  2. Find the factor: 2 × 3 = 6, so times 3.
  3. Do the same underneath: 3 × 5 = 15.
  4. It costs 15 pounds.