Question

Matt had a full jar of marbles. He gave Kayla 3/4 of the marbles. Then Kayla returned 1/3 of a jar's worth of marbles to the jar. How much of the jar is now full of marbles? Enter your answer in simplest fractional form in the box.

Answer 1

A jar of marbles = 4/4 or 12/12
He gave kayla 3/4 or 9/12        he left 1/4 or 3/12 in the jar
Kayla returned 1/3 or 4/12
3/12+ 4/12 = 7/12 
7/12 of the jar is full

Answer 2

we know that

1) Originally ------> Matt had x marbles

2) Matt gave Kayla $3/4$ of the marbles

so

Now

Matt have

$x-\frac{3}{4}x= \frac{1}{4}x$

Kayla have

$\frac{3}{4}x$

3) Kayla returned $1/3$ of a jar's worth of marbles to the jar

so

Kayla returned------> $\frac{1}{3}x$

Now

Matt have

$\frac{1}{4}x+\frac{1}{3}x=\frac{3}{12}x+\frac{4}{12}x=\frac{7}{12}x$

therefore

the answer is

$\frac{7}{12}$