HSC Together Year 12 Maths Standard: Dividing a Quantity into a Given Ratio

#### Maths Standard

• Simultaneous Linear Equations
• Non-linear Relationships
• Non-Right Angled Trigonometry
• Rates and Ratios
• Investments and Loans
• Annuities
• Bivariate Data Analysis
• The Normal Distribution
• Network Concepts
• Critical Path Analysis
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# Dividing a Quantity into a Given Ratio

### What is a given ratio?

Often, we are given problems that ask us to divide into a given ratio. For instance, Mikhael and Sam helped someone with some household chores and got $50 to split amongst them 3:2, respectively. This would mean that Mikhael gets$30 and Sam gets \$20. The following videos explain dividing a quantity into a given ratio in HSC Standard Math and further how to divide amongst two or even three people.

### How to divide a quantity into a given ratio

The following video introduces how to divide amongst a given ratio.

### How to divide a given ratio amongst two people.

The following video provides an example and solves a given ratio for two people.

### How to divide a given ratio amongst three people.

The following video provides an example and solves a given ratio for three people.

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