At a school, the music teacher assembles an orchestra.
Within the orchestra, there are 36 string instruments, 15 woodwind instruments and 12 brass instruments.
(a)[2]
Express the ratio string : woodwind : brass in simplest form.
(b(i))[1]
Prove that the number of violins is 27.
(b(ii))[2]
Determine how many cellos and how many double basses there are.
(c)[2]
Determine the number of flutes.
(d)[2]
Determine the number of horns.
(e(i))[1]
Fill in the table.
(e(ii))[1]
Work out the total price of all the instruments.
(f)[2]
Calculate the extra amount of money required.
Worked solution & mark scheme
This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Simplified ratio: $12:5:4$” …