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What is problem solving?

Problem solving is a great way to put your money knowledge into practice and think about how money is used in the real world.

Remember that RUCSAC can help you solve word problems:

A rucksack

RUCSAC is an acronym that helps us to remember the order to tackle word problems:

READ the question carefully.

UNDERLINE and UNDERSTAND key words.

CHOOSE the correct operation (+ - x Ă·) and method.

SOLVE the problem!

ANSWER the question.

CHECK your working out.

Now let's take a look at some money problems and use RUCSAC to help us solve them.

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Example 1

Charlotte

Charlotte saved ÂŁ18.45 of the money she got for her birthday and ÂŁ11.53 of the money she earned from babysitting her brother. How much money has she saved altogether?

  • READ

Have you read the question carefully?

  • UNDERLINE and UNDERSTAND

Underline or highlight the important information. Do you know what the problem is asking?

Charlotte saved ÂŁ18.45 of the money she got for her birthday and ÂŁ11.53 she earned from babysitting her brother. How much money has she saved altogether?

  • CHOOSE

'Altogether' tells us that we need to add the amounts together.

  • SOLVE

You can use the column method to work out this sum.

Charlotte
ÂŁ18.45 and ÂŁ11.53 added together using the column method. the answer is ÂŁ29.98

So ÂŁ18.45 + ÂŁ 11.53 = ÂŁ29.98

  • ANSWER

You’ve worked out how much Charlotte saved altogether so you have answered the question.

  • CHECK

Double check that you have added up the numbers correctly and the decimal points are in the correct position. Make sure you have used the pound sign.

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Example 2

Cake

A cake costs ÂŁ2.10. How much do 5 cakes cost?

  • READ

Read the question again and make sure you understand it.

  • UNDERLINE

Now highlight the important information:

A cake costs ÂŁ2.10. How much do 5 cakes cost?

  • CHOOSE

This question is asking you what 5 lots of ÂŁ2.10 is, so the operation to choose is multiplication.

Cake
210 x 5 = 1050 shown as column multiplication
  • SOLVE

Turn the pounds into pence first so it’s easier to multiply.

ÂŁ2.10 = 210p

  • ANSWER

Turn the pence back into pounds.

1050p = ÂŁ10.50

  • CHECK

Always check your working out!

Top tip

Top tip

You could also use visual images to help you solve this question through repeated addition.

Top tip

Here are our 5 groups of ÂŁ2.10 using a two-pound coin and a 10p coin.

5 ÂŁ2 coins and 5 10p coins

Now add up all the two-pound coins and 10p coins to see how much there is altogether.

ÂŁ10.50

Both answers are the same. There's usually more than one way to solve a problem!

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Activities

Activity 1

Using a pen and piece of paper and remembering the RUCSAC method, try to work out the following:

For her birthday, Amelia receives ÂŁ5.00 from her grandfather and ÂŁ10.00 from her aunt.

With the money, she decides to buy a book for ÂŁ7.99 and then some chocolates on offer for ÂŁ3.90.

Does she have any birthday money left, and if so, how much?

Coins made form card

You may find it helpful to use some real or pretend money to help you find the answer to the question.Or you can make your own; draw around real coins or bottle caps onto paper or card.

Coins made form card
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Quiz

Try this quiz to see how well you understand multiplying amounts.

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NEW! Play Guardians: Defenders of Mathematica - the Halloween update
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