Alastair Duncombe, Belle Cottingham, Rob Ellis and, Amanda George Solutions for Chapter: Ratio and Proportion, Exercise 3: Exercise 3

Maxine has $1.2 \mathrm{kg}$ of flour.

She uses some of the flour to make bread, some to make a cake and the rest to make biscuits.

She uses the flour to make each item in the ratio

bread:cake:biscuits$=5:2:3$

If the amount of flour Maxine uses to make the Bread is $x \mathrm{gram}$, find the value of $x$. 

Maxine has $1.2 \mathrm{kg}$ of flour.

She uses some of the flour to make bread, some to make a cake and the rest to make biscuits.

She uses the flour to make each item in the ratio

bread:cake:biscuits$=5:2:3$

If the amount of flour Maxine uses to make the Cake is $y \mathrm{grams}$, find the value of $y$. 

Maxine has $1.2 \mathrm{kg}$ of flour.

She uses some of the flour to make bread, some to make a cake and the rest to make biscuits.

She uses the flour to make each item in the ratio

bread:cake:biscuits$=5:2:3$

If the amount of flour Maxine uses to make the Biscuits is $z \mathrm{grams}$, find the value of $z$. 

All students at a school choose to study exactly one of Drama, Art or Music.

The ratio of the number of students taking these subjects is:

Drama:Art:Music$=3:7:2$

There are $492$ students at the school.

Carli says that $260$ students study Art and $155$ students study Drama.

Without doing any detailed calculations, explain can you tell that Carli must have made a mistake

All students at a school choose to study exactly one of Drama, Art or Music.

The ratio of the number of students taking these subjects is:

Drama:Art:Music$=3:7:2$

There are $492$ students at the school.

In one week, the ratio of Dakarai's hours of sleep, work and free time is $8:6:7$

Find the number of hours he spends working in one week

In one week, the ratio of Dakarai's hours of sleep, work and free time is $8:6:7$

Find the average number of hours of free time he has in one day.

A tin contains $60$ biscuits.

All the biscuits in the tin are either rectangular or circular.

The ratio of rectangular to circular biscuits is $1:2$

All the biscuits are covered with either milk chocolate or dark chocolate.

The ratios are shown below.

Find how many more of the biscuits are covered in milk chocolate than dark chocolate.