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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.

Respuesta :

Let x = marbles Leah has
 x - 28 = marbles Dan has

[tex] \frac{1}{3} x= \frac{4}{5} (x - 28)[/tex]
LCD: 15  multiply that on both sides of the equation to eliminate the fractions
5x = 12(x - 28)
5x = 12x - 336
-7x = -336
x = 48

Leah has 48 marbles

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