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

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 = 28

According to question,

$\dfrac{1}{3}$ of Leah's marble = $\dfrac{4}{5}$ of Dan's marble

$\dfrac{1}{3}L=\dfrac{4}{5}D\\\\L=\dfrac{12}{5}D\\\\\dfrac{L}{D}=\dfrac{12}{5}$

So, using the ratio, we have

Number of marbles Leah has = 12x

Number of marbles Dan has = 5x

So, our equation becomes,

$12x-5x=28\\\\7x=28\\\\x=\dfrac{28}{7}\\\\x=4$

So, Number of marbles Leah has $12x=12\times4=48$

Hence, there are 48 marbles that Leah has.