Ratio Problem Solving (Edexcel GCSE Maths: Foundation)

Ahmed, Beatrice, and Chen each earn the same monthly salary.

Each month,

• Ahmed saves 22% of his salary and spends the rest of his salary.

• Beatrice spends  of her salary, and saves the rest of her salary.

• The amount of salary Chen saves : the amount of salary he spends = 3 : 17.

Work out who saves the most of their salary each month.

You must show how you get your answer.

In a car park there are silver, white, and black cars.

The ratio of silver cars to white cars is 3 : 5.

The ratio of white cars to black cars is 2 : 3.

Find the ratio of silver cars : black cars in its simplest form.

There are only small, medium, and large sized shirts sold in a shop.

The number of small, medium, and large sized shirts are in the ratio 3 : 7 : 6.

Work out what percentage of the shirts are sized small or large.

Write your answer correct to 2 decimal places.

There are 36 more medium shirts than small shirts.

Find the total number of shirts.

Alex and Chris share sweets in the ratio Alex : Chris = 7 : 3.
Alex receives 20 more sweets than Chris.

Work out the number of sweets Chris receives.

Zach is looking at the costs of a holiday.

The ratio of the costs flights : hotels = 3 : 8.
The cost of the flights is $861.

Work out the total cost of flights and hotels.

$ ................................................... 

Given that  and 

find .

A bag contains yellow balls, pink balls and green balls only.

The ratio yellow balls : pink balls : green balls = 7 : 3 : 5.
There are 42 yellow balls in the bag.

Work out the total number of balls in the bag.

A bag contains red marbles, green marbles and blue marbles only.
The ratio of the number of marbles of each colour is

red : green : blue = 12 : 5 : 2.

There are 112 more red marbles than green marbles.

Work out the number of blue marbles.

A farmer has 45 horses and 20 cows.

i) Write this as a ratio of horses : cows.
Give your answer in its simplest form.

[1]

ii) The farmer wants the ratio of horses : cows to equal 5 : 3.
He keeps his 45 horses and buys some more cows.

Work out the number of cows he must buy.

[2]

Nadira has some T-shirts that are either white or blue or green.
The numbers of T-shirts are in the ratio white : blue : green = 5 : 4 : 1.
48 of the T-shirts are blue.

Work out the total number of T-shirts.