1. A family of 6 people have enough stock of grain to last for 40 days. Due to the arrival of some relatives, the food was consumed in 30 days. How many guests joined the family?
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1. A family of 6 people have enough stock of grain to last for 40 days. Due to the arrival of some relatives, the food was consumed in 30 days. How many guests joined the family?
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Answer: 2 guests
Step-by-step explanation:
It's a cross-multiplication: a/b = c/d ; ad = bc or a= (bc)/d
40/6 = 30/x
6 × 40 = 30 × (guests + family members)
(guests + family members) = (6×40)/30
(guests + family members) = 8
We already know in the family there are 6 people, so 8 - 6 = 2 guests