Dilly's Eggs 2

Question

Need your help with this word problem with equations. Thanks!

Dilly the Diplodocus has laid some eggs.

She has laid between 10 and 20 eggs.

She counts the eggs by putting them into plies of 4. She finds that she has 3 left over.

She then counts the eggs by putting them into piles of 3 and finds that she have one left over.

How many eggs has she got?

Answer 1

 

Let numbers of eggs be m where m is between 10 and 20.

1st equation: 4x+3 = m

So the number of eggs could be (x=3,15),(x=4,19)

2nd equation 3y + 1 =m

So the number of eggs could be (y=4,13),(y=5,16) or (y=6,19)

Therefore, the number of eggs she had is 19