Build Equivalent Ratios and Unit Rates

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Write the quantities in a fixed order. Multiply or divide both parts by the same positive number. For a unit rate, divide the total amount by the number of units.

Worked example

A mixture uses 3 blue tiles for every 2 yellow tiles. Doubling gives 6 blue to 4 yellow. If 4 identical packs contain 28 tiles, each pack contains 28 divided by 4 = 7 tiles.

1. The ratio of blue tiles to yellow tiles is 3:2. How many blue tiles go with 8 yellow tiles? Answer

2. Five identical notebooks cost 15 tokens altogether. How many tokens per notebook? Answer

3. A walker travels 12 km in 3 hours at a constant rate. How many km per hour? Answer

4. A recipe uses 2 cups of oats for 3 cups of seeds. How many cups of seeds go with 10 cups of oats? Answer

5. There are 4 red beads for every 5 white beads. A batch has 27 beads in total. How many are red? Answer