Two friends share a £360 prize in the ratio 2:3.
How much does each friend get?
Practice
Ratio and proportion
The lesson: Sharing in a ratio
Concrete is made from cement, sand and gravel in the ratio 1:2:4. A builder makes 140 kg of concrete.
How much sand is needed?
A recipe for 4 people uses 300 g of flour.
How much flour is needed for 10 people?
A 500 ml bottle of shampoo costs £1.35. A 750 ml bottle costs £1.95.
Which bottle is better value? Show your working.
Five cleaners take 6 hours to clean an office block. They all work at the same rate.
How long would 3 cleaners take?
A youth club has 15 boys and 20 girls.
Write the ratio of boys to girls in its simplest form.
The exchange rate is £1 = €1.16.
How many euros do you get for £250?
Squash is mixed with water in the ratio 1:6. A playgroup needs 2.1 litres of drink.
How much squash is needed?
8 m of fencing costs £76.
How much do 13 m of the same fencing cost?
A rescue centre has enough food for 12 dogs for 15 days. It takes in more dogs, so it now has 20. Every dog eats the same amount each day.
How many days will the food last now?
Partners A and B share a profit of £3,400 in the ratio A:B = 3:5. Partner B needs at least £2,000 from her share.
Does partner B get enough? Show your working.
At a family fun day, the ratio of adults to children is 5:2. There are 21 more adults than children.
How many children are there?
Blue paint and white paint are mixed in the ratio 3:2. A decorator needs 35 litres of the mixture.
How much of each colour is needed?
Six staff pack an order in 8 hours. They all work at the same rate. Four staff will pack an identical order.
How long will the four staff take?