Page 146 - MAT KS3 Y8 Cambridge CheckPoint

14.2 Sharing in a ratio

4 A box of chocolates contains milk, white and dark chocolates in the ratio 4 : 2 : 3.
The box contains 72 chocolates altogether.
a How many chocolates in the box are:
i milk ii white iii dark?
b The ratio of the number of milk, white and dark chocolates is changed to 3 : 1 : 4.
There are still 72 chocolates in the box.
How many chocolates in this box are:
i milk ii white iii dark?

5 Aden, Eli, Lily and Ziva run their own business. .
They share the money they earn from a project Project earnings: $450
in the ratio of the number of hours they put Time spent working on project:
into the project. Aden: 6 hours Eli: 4 hours
On the right is the time-sheet for one of Lily: 3 hours Ziva: 5 hours
their projects.
How much does each of them earn from
this project?

6 A grandmother leaves $2550 in her will to be shared among her grandchildren in the ratio
of their ages.
The grandchildren are 6, 12, 15 and 18 years old.
How much does each of them receive?
7 Every year, on his birthday, David shares $300 among his children in the ratio of their ages.
This year the children are aged 4, 9 and 11.
How much less will the oldest child receive in two years’ time, than in this year?
8 Van, Willem and Zeeman buy a flat for $180 000.
Van pays $60 000, Willem pays $90 000 and Zeeman pays the rest.
Five years later they sell the flat for $228 000.
They share the money in the same ratio that they bought the flat.
How much profit does Zeeman make on the sale of the flat?

9 Here is a pack of ratio cards.

Share $120 ...
$50 $84 $75
Share $150 ...
... in the ratio 2 : 6 : 1
... in the ratio 2 : 3 : 1
$25
$14
$45
... in the ratio 3 : 1 : 4 Share $132 ...
$60
$55 $11
$15 $28 ... in the ratio 1 : 5 : 6

Share $126 ... $66

Sort the cards into their correct groups.
Each group must have one pink, one yellow and three blue cards.

144 14 Ratio and proportion