10 cooks can produce 50 pizzas working 15 hours a day, then how many pizzas can be produces when 30 cooks work for 20 hours a day? (3 marks)

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Solution

More cooks means more pizzas, so it is in direct proportion. The proportion is 10:30∷50:x
(1 mark)

If more hours spend, then more pizzas can be produced, so it is in direct proportion. The proportion is 15:20∷50:x
(1 mark)

We know that the product of extremes = the product of means.

10×15×x=30×50×20

x=(30×20×50)/(10×15)=200
(1 mark)

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