Dividing Quantities Using Ratios

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📚 Understanding Ratios

Remember: A ratio shows how quantities are shared or compared. To divide a quantity using ratios:

1. Add the parts together to find the total parts
2. Divide the quantity by the total parts
3. Multiply each part by this number

1. Mia and Jake share 32 lollies in the ratio 3:5. How many lollies does each person get?

Show your working:

Mia gets _______ lollies and Jake gets _______ lollies.

2. A paint mixture uses red and blue paint in the ratio 2:3. If you have 15 litres of paint mixture, how much of each colour is needed?

Draw a bar model to help solve this problem:

Red paint: _______ litres Blue paint: _______ litres

🎯 Practice Problems

3. A school has 84 students going on a trip. They need to be divided into two buses in the ratio 4:3. How many students go on each bus?

Bus A: _______ students Bus B: _______ students

4. Sarah is making fruit smoothies. She mixes orange juice and mango juice in the ratio 5:2. If she makes 350ml of smoothie, how much of each juice does she use?

Orange juice: _______ ml Mango juice: _______ ml

5. Challenge: A recipe calls for flour and sugar in the ratio 7:3. If you use 21 grams of flour, how much sugar do you need? How much mixture will you have in total?

Sugar needed: _______ grams Total mixture: _______ grams