Chapter Overview Maths

Types of numbers

Number calculations

Fractions, decimals and percentages

Algebraic manipulation

Formulae and equations

Straight line graphs

Other graphs

Ratio

Proportion

Rates of change

Shapes

Properties of shapes

Measures

Lines and angles

Drawing shapes

Trigonometry

Probability

Statistics

Maths 0%

Summary

## ​​​​In a nutshell

Best value problems are a very useful real world application of ratios. They can help get the best value for money.

## Solving best value problems

To solve best value problems, use ratios to find how much is in one penny (or pound) of each product. The best value for money is the product that gives the most produce per pound(/penny).

##### Example 1

Three bottles of the same sauce each have a different sized bottle with a different price, as shown:

#### price

Small

$200ml$​​

$£3$​​

Medium

$450ml$​​
$£5.50$​​
Large
$1l$​​
$£12$​​

Which of the bottles gives the most value for money?

Work out how much sauce each bottle gives for $£1$ using ratios.

First, the small bottle:

$£3=200ml$​​

$£1=(200\div3)ml$​​

$£1=66.7ml$​​

The middle bottle:

$£5.50=450ml$

$£1=(450\div5.5)ml$

$£1=81.8ml$​​

The large bottle:

$£12=1l$

$£12=1000ml$

$£1=(1000\div12)ml$

$£1=83.3ml$​​

Hence, the large bottle is the best value for money as you get the most sauce per pound.

FAQs

• Question: How do you solve best value problems?

Answer: Use ratio to find how much £1 or 1p of each product gives you. The product that gives the most produce per pound (or penny) is the best value product.

• Question: What does "best value for money" mean?

Answer: Best value for money means you get the most amount of produce per pound or penny.

Theory

Exercises