Question

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 that Leah has.

Answer 1

Let x = marbles Leah has
x - 28 = marbles Dan has


`(1)/(3) x= (4)/(5) (x - 28)`
LCD: 15 multiply that on both sides of the equation to eliminate the fractions
5x = 12(x - 28)
5x = 12x - 336
-7x = -336
x = 48

Leah has 48 marbles