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.

Leah has 48 marbles and Dan has 20 marbles.

You guys really lost YOUR marbles over this question 😂

THIS IS SO MUCH BETTER THAN FREAKING BRAINLY

Leah has 48 marbles

i wanna know the answer not "cheese" or "waddup"

so after all of the work Leah will have 48 marbles and Dan will have 20

yah bro

Facts

To find the number of marbles that Leah has, we can follow these steps:

Step 1: Assign variables
Let's assign variables to represent the number of marbles Leah and Dan have.
Let L be the number of marbles Leah has.
Let D be the number of marbles Dan has.

Step 2: Translate the information given into equations
Translate the given statements into equations based on the information provided.
"Leah has 28 more marbles than Dan" can be written as:
L = D + 28

"1/3 of Leah’s marbles is equal to 4/5 of Dan’s marbles" can be written as:
(1/3)L = (4/5)D

Step 3: Solve the system of equations
Now, we need to solve the system of equations formed by the two equations above. We can do this by using substitution or elimination. Let's use substitution in this case.

Substitute the value of L from the first equation into the second equation:
(1/3)(D + 28) = (4/5)D

Simplify and solve for D:
(D + 28)/3 = (4/5)D
Multiply both sides by 3 to eliminate the fraction:
D + 28 = (12/5)D
Multiply both sides by 5 to eliminate the fraction:
5(D + 28) = 12D
5D + 140 = 12D
Subtract 5D from both sides:
140 = 7D

Divide both sides by 7 to solve for D:
D = 20

Step 4: Find the number of marbles Leah has
Now that we know Dan has 20 marbles, we can substitute this value back into the first equation to find Leah's number of marbles:
L = D + 28
L = 20 + 28
L = 48

Therefore, Leah has 48 marbles.

D = L - 28

1/3L = 4/5D

Substitute L-28 for D in the second equation and solve for L.