Ratio Problems

1
Ratio Problems

• Arithmetic

2
Ratio Problems
John, Jim and Mary put money together on the
National Lottery every week. John puts in 6,
Jim puts in 4 and Mary puts in 3. One week
they manage to win 60500. How much money should
each person get as their share of the winnings?
3
Ratio Problems
Cement, sand and stones in the ratio 2 2 5
are needed to make concrete. If 720 cubic metres
of concrete is required, what amount of each
material will be needed?
4
Ratio Problems
Three boys agree to buy a computer together and
each week they give 9, 5 and 4 towards the
monthly installment until the computer has been
paid for. They decide to sell the computer at a
later date and receive 650 for it. What share
of this money should each boy receive?
5
Ratio Problems
Each week Harry, James and Peter put 70, 50 and
40 into a savings fund. After a year the fund
pays out a bonus of 850. What share of the
bonus should each person receive?
6
Ratio Problems
Two brothers buy a car together. One brother
puts in 7000 and the other puts in 5000.
They decide at a later date to sell the car and
get 9500 for it. What share of the money
should each brother receive?
7
Ratio Problems
A football pools win amounted to 1,200,000. The
win is to be shared between five people who
regularly donate 4, 4, 3, 2 and 1
respectively. Work out the correct share of
the winnings for each person.
8
Ratio Problems
To make the mixture of coffee a shop sells as
their own brand the shop mixes Mexican and
Brazilian coffee together in the ratio 4 3 How
many bags of each kind of coffee will the shop
need if they wish to make 126 bags of their own
brand for sale in the shop? If the shop actually
has 50 bags of each type of coffee in stock, how
many bags of their own coffee brand could they
make using this?
9
Ratio Problems
To knit a jumper requires wool in 4 different
colours. It is found that 1 jumper requires 5
balls of green wool, 4 balls of yellow wool, 3
balls of red wool and 2 balls of white wool. In
stock in the shop you have 95 balls of green, 68
balls of yellow, 50 balls of red and 40 balls of
white wool. How many jumpers can you make and
how much of each coloured wool is left in stock?
10
Ratio Problems
To make apple crumble you need margarine, sugar
and flour in the ratios 1 2 3. What weight
of each is needed if you want to make 4.5 kg of
crumble?
11
Ratio Problems
To make a shop blend of tea requires tea from
India, Kenya and South America mixed in the
ratio 2 3 5. If 420 Kg of the shop blend
are required to be made, how much of the three
different kinds of tea is needed?
12
Ratio Problems
For a party you will need 24 litres of diluted
orange juice. If the juice is made using 4
parts of water to 1 part of concentrated orange
juice, how much concentrated orange juice will
you need?
13
Ratio Problems
A shop pays their part time workers to hand out
leaflets. If 3 workers hand out leaflets in the
ratio of 5 bundles to 4 bundles to 2 bundles,
how should they share a bonus of 80 given to
them for doing this work?
14
Ratio Problems
A coin weighs 12.5 grams. The coin contains 3
parts copper to two parts nickel. What weight of
each was used to make the coin?
15
Ratio Problems
Green paint is made by mixing blue and yellow in
the ratio 3 2. In stock, a shop has 152 litres
of blue paint and 97 litres of yellow paint. How
many litres of green paint can be made?