Ratio Problem Solving

30% of the people at a concert are female.
1295 of the people at the concert are male.

Work out the number of people at the concert who are female.

Colin, Dave and Emma share some money.

Colin gets  of the money.

Emma and Dave share the rest of the money in the ratio 3 : 2
What is Dave's share of the money?

Pavel and Katie share some sweets in the ratio 3 : 8
Katie gets 32 sweets.

Katie also has a tin of chocolates.
There are 80 chocolates in the tin.
45% of the chocolates have toffee in the middle.

Raya buys a van for £8500 plus VAT at 20%

Raya pays a deposit for the van.
She then pays the rest of the cost in 12 equal payments of £531.25 each month.

Find the ratio of the deposit Raya pays to the total of the 12 equal payments.
Give your answer in its simplest form.

In a village

There are 50 bungalows in the village.

How many houses are there in the village?

Joe and Kyle share an amount of money in the ratio   

Joe gets 35% of the money.

Work out the value of

There are some people in a cinema.
of the people in the cinema are children.
For the children in the cinema,

number of girls : number of boys = 2 : 7

There are 170 girls in the cinema.

Work out the number of adults in the cinema.

[5]

Anna and Lionel share  in the ratio
Lionel gives  of his share of the money to his mother.
How much money does Lionel give to his mother?

$...........................................   [3]

In a box of mixed nuts, the total number of almonds, cashews and peanuts is 1025.
The ratio of almonds to cashews is 1 : 3.
The ratio of cashews to peanuts is 5 : 7.

Calculate the number of cashews in the box.

A box contains only red, blue and green pens.
The ratio of red pens to blue pens is 5 : 9.
The ratio of blue pens to green pens is 1 : 4.

Calculate the percentage of pens that are blue.

There is a total of 250 men, women and children on a train.
The ratio of men to women is 4 : 5.
The ratio of women to children is 10 : 7.

How many men are on the train?

A bag of sweets contains only mints, sherberts and toffees.

The ratio of the number of mints to sherberts is 2 : 3.
The ratio of the number of sherberts to toffees is 7 : 5.

What fraction of the sweets are sherberts?

On Saturday, some adults and some children were in a theatre.
The ratio of the number of adults to the number of children was 5 : 2

Each person had a seat in the Circle or had a seat in the Stalls.

 of the children had seats in the Stalls.
117 children had seats in the Circle.

There are exactly 2600 seats in the theatre.

On this Saturday, were there people on more than 60% of the seats?
You must show how you get your answer.

White shapes and black shapes are used in a game.
Some of the shapes are circles.
All the other shapes are squares.

The ratio of the number of white shapes to the number of black shapes is 3 : 7

The ratio of the number of white circles to the number of white squares is  4 : 5

The ratio of the number of black circles to the number of black squares is 2 : 5

Work out what fraction of all the shapes are circles.

The points and  lie in order on a straight line.

Work out 

There are some small cubes and some large cubes in a bag.
The cubes are red or the cubes are yellow.

The ratio of the number of small cubes to the number of large cubes is 4: 7
The ratio of the number of red cubes to the number of yellow cubes is 3 : 5

All the small cubes are yellow.

is two thirds of .

Work out the ratio 

Give your answer in its simplest form where and  are integers.

and 

Work out  in its simplest form.

Arjun and Gretal each pay rent.

In 2018, the ratio of the amount each paid in rent was Arjun : Gretal = 5 : 7.
In 2019, the ratio of the amount each paid in rent was Arjun : Gretal = 9 : 13.

Arjun paid the same amount of rent in both 2018 and 2019.
Gretal paid $290 more rent in 2019 than she did in 2018.

Work out the amount Arjun paid in rent in 2019.

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

Some visitors to a campsite are in the ratio

and .

i)

Calculate the ratio  in its simplest form.
 

................... : ................... : ................... [2]

ii)

There are 224 children at the campsite.

Calculate the total number of men and women.
 

[3]

The fares for a train journey are shown in the table below.

For one journey from London to Marseille, the ratio

number of adults : number of children = 11 : 2.
 

There were 220 adults in total on this journey.
All of the children and 70% of the adults paid the standard fare. 
The remaining adults paid the premier fare.

Calculate the total of the fares paid by the adults and the children.
 

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

Some people who work for a company are in the following age groups.

The ratio of the number in group A to the number in group B is  7 : 10.
The ratio of the number in group B to the number in group C is  4 : 3.

....................... : ....................... [3]

[3]