Share a total
Ratio terms count equal parts of one total
- Add Find the total number of parts
- Divide Find the amount represented by one part
- Multiply and check Allocate the required parts. Check the total and their order
Common mistakes
Dividing by one term
✕\(\displaystyle p=228\div2\)✓\(\displaystyle p=228\div(2+5+5)\)
For a $228 total shared in the ratio two to five to five, one part comes from dividing by every part in the wholeDifficulty levels
introFind both shares
standardFind all shares or a selected share in a three-term ratio
challengeUse four shares, an unreduced ratio or a difference between shares
Questions about this topic
Must the ratio be simplified first?+
No. The original ratio gives the same shares when every term is used consistently
Can I check only the total?+
No. The amounts must also match the ratio in the named order
Can I use a calculator?+
A calculator is allowed unless a question is marked no calculator
Which year level and chapter is this?+
Year 9 Mathematics, chapter 1: Number and financial mathematics
In this chapter
Evaluate an integer expressionFactors, multiples, HCF, LCM and primesRound to decimal places or significant figuresEstimate an expression using rounded inputsConvert between fractions, mixed numbers and decimalsClassify real numbers and compare exact valuesAdd, subtract, multiply and divide fractions and mixed numbersWrite a ratio from countsWrite ratios in simplest formComplete equivalent ratiosUse a constant rateDivide a quantity in a given ratioDecide which option is the better valueConvert between fractions, decimals and percentagesFind a percentage of a quantityExpress one quantity as a percentage of another1F Percentages and money: Find the original amount from a percentageIncrease or decrease a quantity by a percentageFind percentage changePercentage error against a reference value1G Percentage change and percentage error: Find the original amount from a percentageProfit, mark-up and discountIncome and taxSimple interestCompound interest (optional extension)