Ratio, SM-Bank 023

This year there are 108 students in Year 8 and the ratio of Year 7 students to Year 8 students is 8:9.

Use this information to calculate the number of students in Year 7 this year. (2 marks)

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\(96 \text{ students in Year 7}\)

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\(\text{Year 8 represents 9 parts}\)

\(9\ \text{parts}\)	\(=108\)
\(1\ \text{part}\)	\(=\dfrac{108}{9}=12\)

\(\text{Year 7 represents 8 parts}\)

\(=12\times 8=96\)

\(\therefore\ \text{There are}\ 96\ \text{students in Year 7.}\)