Total number (need this within 6 hours)

Question

Both Ken and Lucy have baseball cards. If Lucy gave Ken 10 of her cards, they would have the same number of cards. However, if Ken were to give Lucy 10 of his cards instead, then Lucy would have 5 times as many baseball cards as Ken would have. Find the total number of baseball cards both Ken and Lucy have.

Answer 1

Let's say that Lucy & Ken have L & K cards each.

 

L-10 = K+10 is the representation of the second sentence.

 

Make another equation from the third sentence.

You will then have two equations with two unknown quantities, and you can solve that. Check your answers.