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

48

Explanation:

Answer 2

Answer: There are 48 marbles that Leah has.

Explanation:

Since we have given that

Difference between the number of marbles Leah has than Dan has = 28

According to question,

`(1)/(3)` of Leah's marble =
`(4)/(5)` of Dan's marble

`(1)/(3)L=(4)/(5)D\\\\L=(12)/(5)D\\\\(L)/(D)=(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=(28)/(7)\\\\x=4`

So, Number of marbles Leah has
`12x=12*4=48`

Hence, there are 48 marbles that Leah has.