Mathematics 0580 · IGCSE · Ratio and proportion

Ratio and proportion — practice question

In a film, a company employs 512 actors. Their numbers are split in the ratio men : women : children = 7 : 11 : 14.
(a(i))[2]

Show that the film includes 224 children.

(a(ii))[1]

Find how many men are in the film.

(b)[2]

Calculate the total sum the film company gives to the children to spend. Give your answer correct to the nearest $100$.

(c)[2]

Calculate the minimum possible number of groups.

(d(i))[1]

Write this number using figures.

(d(ii))[1]

Write the answer to part (d)(i) in standard form.

(e)[3]

Calculate the percentage profit achieved.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Proper application of the weighted mean \frac{512}{7+11+14} \times 14

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