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.

Question

asked Apr 7, 2020 134k views

2 Answers

Cathi · Answer 1 · 2020-04-12T13:23:41+0000

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.