AC9M8M07Year 8MeasurementPractised in part

AC9M8M07 — Year 8 Measurement

Official Curriculum Content Description:

use mathematical modelling to solve practical problems involving ratios and rates, including financial contexts; formulate problems; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

Coverage notice: Practised in part

What this practice covers: sharing an amount in a given ratio

What is omitted: formulating a ratio or rate model from a situation, interpreting and evaluating it

Worked Examples (1)

Example 1Dividing Quantities in a Given Ratio
Share $180\$180 between Jack and Mia in the ratio 4:54 : 5. How much does Jack receive?
Common mistake: Treating Jack's ratio part as a fraction of another part (4/5) rather than the total number of parts (4/9).
Correct Answer:$80\$80
Accepted: A unit is optional ($ or dollars accepted).
Worked Solution:
1. Add the ratio parts to find the total number of parts: 4+5=94 + 5 = 9. 2. Divide the total amount by the sum of parts to find the value of one part: $180÷9=$20\$180 \div 9 = \$20. 3. Multiply one part by Jack's ratio share (4): $20×4=$80\$20 \times 4 = \$80.

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