**How to Solve Average Math Questions**

The main aim of this math revision note is to help your child become better at solving Average Math questions by visualisation.

A clearer visualisation will result in a better understanding of the question so that your child can become more proficient in solving such challenging Average Math questions.

**Before you read on, you might want to download this entire revision notes in PDF format to print it out for your child, or to read it later.**

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__Average Math Question 1__

__Average Math Question 1__

*Ms Tay purchased bowls at a price of $15 each. She also bought an equal number of plates at a different price. The average price of a bowl and a plate was $21.*

*Ms Tay paid $60 more for the bowls compared to the plates. How many bowls did she buy?*

*How many children were there in the group?*

We can find the total price of 1 bowl and 1 plate using the average of 1 bowl and 1 plate multiplied by 2 items

Price of 1 bowl and 1 plate = $21 × 2

= $42

Then, we can find the price of 1 plate using total minus the price of 1 bowl

Price of 1 plate = $42 – $15

= $27

The total difference given in the question is $60.

We can now take the total difference divided by the difference in each set to find out how many sets there are. The number of sets is also the number of bowls or plates.

Number of bowls = $60 ÷ $12

= 5 (Ans)

In this example, we can use the Grouping Concept to solve this Average Math question. That is because the number of items is the same.

Lets take a look at one more example.

__Average Math Question 2__

__Average Math Question 2__

*Emma and Gina have a mass of 59.9 kg each. The mass of Sharmila is 5.2 kg less than the average mass of Emma, Gina and Sharmila. Find the total mass of Emma, Gina and Sharmila.*

Firstly, we can lay out the parameters.

On the first row, we have Emma’s mass, Gina’s mass and Sharmila’s mass.

On the second row, we have 3 number discs, each representing the average of the 3 girls.

The total sum of the first row’s discs (Emma + Gina + Sharmila) is equivalent to the total sum of the second row of discs (Average x 3 girls).

The question told us that Sharmila’s mass is 5.2 kg less than the average of the 3 girls.

For the total on top and the total below to still be equivalent to each other, this means that the total mass of Emma and Gina is 5.2 kg more than sum of the 2 averages.

Since Emma and Gina have the same mass and the average is the same number, we can split the difference (5.2 kg) equally.

5.2 kg ÷ 2 = 2.6 kg

Since 59.9 kg is 2.6 kg more than the new average, we can find out the new average by subtracting 2.6 kg from 59.9 kg.

New average = 59.9 kg – 2.6 kg

= 57.3 kg

Now, we can find the total mass of the 3 girls by multiplying 57.3 kg by 3.

Total mass of the 3 girls = 57.3 kg × 3

= 171.9 kg (Ans)

We hope that this revision note has helped your child understand how to solve Average Math questions by visualisation.

Some children may not like this method and prefer to use Algebra instead.

Your child can use other methods as long as your child understands them.

Marks will still be awarded as long as they are logical and make sense.

**Before you go, you might want to download this entire revision notes in PDF format to print it out for your child, or to read it later.**

**This will be delivered to your email inbox.**

To Your Child’s Success,

Ms Nelly Ke

Math Specialist

Jimmy Maths and Grade Solution Learning Centre

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