Video: KS2-M18 • Paper 3 • Question 20

In March, Ken collects 2, 3, or 4 eggs each day from his hens. In the first 20 days, Ken collects 57 eggs altogether. There are 31 days in March. What is the greatest number of eggs Ken can collect in March?

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Video Transcript

In March, Ken collects two, three, or four eggs each day from his hens. In the first 20 days, Ken collects 57 eggs altogether. There are 31 days in March. What is the greatest number of eggs Ken can collect in March?

We need to work out the greatest number of eggs that Ken can collect in March. March has 31 days. And we’re told how many eggs Ken has collected in the first 20 days. So if we find the difference between 31 and 20, that will tell us how many days that are left in March. 31 take away 20 is 11. So Ken has 11 days left in March to collect eggs.

We have to find the greatest number of eggs he can collect. And we know he either collects two, three, or four eggs each day. So the greatest number of eggs he can collect each day is four. 11 times four is 44. In the first 20 days, Ken collected 57 eggs. And in the remaining 11 days, the greatest number of eggs he can collect is 44. So to calculate the total number of eggs Ken can collect in March, we need to add together 57 and 44. Seven plus four is 11. Five plus four is nine, plus the one we exchange makes 10. So the greatest number of eggs Ken can collect in March is 101 eggs.

First, we calculated the number of days left in March by subtracting 20 from 31. We calculated the greatest number of eggs that Ken can collect in those 11 days by multiplying 11 by four. Then we added together the 57 eggs Ken had already collected in March and the 44 eggs he could collect in the remaining 11 days, to give us our answer of 101 eggs.

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