Question

1) Tom and Julie share £48 in the ratio 5:3

Work out how much more money Tom gets than Julie gets.
2) Ben and Sue share £60 in the ratio 2:3
Work out how much each person gets.
3) Abox contains milk chocolates and plain chocolates only.
The number of milk chocolates to the number of plain chocolates is
in the ratio 2:1
There are 24 milk chocolates.
Work out the total number of chocolates.
4) Andy, Ben and Claire share £54
Ben gets three times as much money as Andy.
Claire gets twice as much money as Ben.
How much money does Claire get?
5) There are some marbles in a bag.
18 of the marbles are blue.
12 of the marbles are red.
a) Write down the ratio of the number of blue marbles to the number
of red marbles.
Give your ratio in its simplest form.
There are some apples and pears in a box.
The total number of apples and pears is 54.
The ratio of the number of apples to the number of pears is 1:5
b) Work out the number of pears in the box.
6) A piece of string is 180 cm long.
Jim cuts it into three pieces in the ratio 2:3:4
Work out the length of the longest piece.
7) Sally is 13 years old.
Tammy is
rs old.
Danny is 10 years old.
Sally, Tammy and Danny share £28 in the ratio of their ages.
Tammy gives a third of her share to her mother.
How much should Tammy now have?

Answer 1

(This is half of the questions more will be done)

Explanation:

1) The Answer is 12, based on the given conditions, formulate: 48x(5-3)÷(3+5)

2) The Answer is 24:36, (2/3)=0.66667=x/y

x+y=60

x=60-y

(60/y)-1=2/3

60/y=5/3

y=36

x+36=60

x=24

24:36

3) The Answer is 36, based on the given conditions, formulate: 24x (2+1)÷2

4) The Answer is 32.40, Represent the amounts as a ratio:

Since Andy receives the least, let his amount be 1

Ben's amount is 3 times Andy's, so this will be 3

Claire's amount is 2 times Ben's so this will be 6

So we have: 1:3:6

5) The Answer is 18:12, B = no. of blue marbles (18)

R = no. of red marbles (12)

The ratio should be expressed as follows:

B:R or B/R

18:12 or 18/12

However, in SIMPLEST FORM, the numbers need to be REDUCED by the GCF that they share (i.e. the 2 numbers must be divided by the LARGEST factor (6) that divides evenly into both 12 and 18).

(18/6):(12/6) or (18/6) / (18/12)