A baker can make either 7 large or 45 small cakes/hour. Kitchen is available for 3 hours and 140 large and 990 small...

Question

Bakers are needed to prepare for a Christmas party. Each baker can make either 7 large cakes per hour, or 45 small cakes per hour. The kitchen is available for 3 hours and 140 large cakes and 990 small cakes are needed. How many bakers are required?

Answer 1

14 bakers.
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140 large + 990 small cakes in 3 hours => (140/3 =) 46.7 large + (990/3 =) 330 small cakes in 1 hour.
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Per baker 7 large cakes / hour => 46.7 large cakes need 6.67 bakers
Per baker 45 small cakes / hour => 330 small cakes need 7.33 bakers.
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Total of 6.67 + 7.33 = 14 bakers.