Problema Solution

Leah has 28 more marbles than Dan. 1 3 of Leah’s marbles is equal to 4 5 of Dan’s marbles. Find the number of marbles Leah has.

Answer provided by our tutors

We assume "1/3 of Leah’s marbles is equal to 4/5 of Dan’s marbles.".

Let 'x' represent the number of Leah's marbles and 'y' represent the number of Dan's marbles.

x + y = 28

(1/3)x = (4/5)y

........

click here to see the system of equations solved for x and y

........

x = 19.8

y = 8.2

Since the number of integers can only be integer and the solutions of the system of equations are not integers the problem have no solutions.