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: There are 48 marbles that Leah has.Step-by-step explanation:Since we have given that Difference between the number of marbles Leah has than Dan has = 28According to question,[tex]\dfrac{1}{3}[/tex] of Leah's marble = [tex]\dfrac{4}{5}[/tex] of Dan's marble[tex]\dfrac{1}{3}L=\dfrac{4}{5}D\\\\L=\dfrac{12}{5}D\\\\\dfrac{L}{D}=\dfrac{12}{5}[/tex]So, using the ratio, we have Number of marbles Leah has = 12xNumber of marbles Dan has = 5xSo, our equation becomes,[tex]12x-5x=28\\\\7x=28\\\\x=\dfrac{28}{7}\\\\x=4[/tex]So, Number of marbles Leah has [tex]12x=12\times4=48[/tex]Hence, there are 48 marbles that Leah has.