Page 140 - Mathematics Coursebook

14.2 Sharing in a ratio

2 Share these amounts between Dong and Chul in the ratios given.
a $24 in the ratio 1 : 2 b $65 in the ratio 1 : 4 c $48 in the ratio 3 : 1
d $30 in the ratio 5 : 1 e $21 in the ratio 1 : 6 f $64 in the ratio 7 : 1

3 Share these amounts between Lin and Kuan-yin in the ratios given.
a $35 in the ratio 2 : 3 b $56 in the ratio 2 : 5 c $49 in the ratio 3 : 4
d $32 in the ratio 5 : 3 e $66 in the ratio 6 : 5 f $90 in the ratio 7 : 3

4 Raine and Abella share an electricity bill in the ratio 5 : 4. The electricity bill is $72.
How much does each of them pay?
5 A tin of biscuits contains shortbread and choc-chip biscuits in the ratio 2 : 3.
The tin contains 40 biscuits.
How many shortbread biscuits are there in the tin?
6 A school choir is made up of girls and boys in the ratio 4 : 3.
There are 35 students in the choir altogether.
How many of the students are boys?
7 Brad and Lola bought a painting for $120.
Brad paid $80 and Lola paid $40.
a Write the ratio of the amount they each paid in its simplest form.
b Ten years later they sold the painting for $630.
How much should each of them get?
8 William and Emma buy a racehorse.
William pays $3000 and Emma pays $4000.
a Write the ratio of the amount they each pay in its simplest form.
b The horse wins prize money of $12 600.
How much should each of them get?

9 In a wood there are oak trees and beech trees.
In one section of the wood there are 35 oak trees and 49 beech trees.
In the whole wood there are 7200 trees. I estimate that there are 3000 oak
Show how Mia worked out this estimate. trees in the wood altogether.

10 Agwe and Kai are going to share $240, either in the ratio of their ages,
or in the ratio of their weights.
Agwe is 14 years old and weighs 58 kg.
Kai is 16 years old and weighs 62 kg.
Which ratio would be better for Agwe?
Explain your answer.

11 Every New Year Auntie Bea gives $320 to be shared between her nieces in
the ratio of their ages.
This year the nieces are aged 3 and 7.
How much more will the younger niece receive, in five years’ time, than

she receives this year?

14 Ratio and proportion 139