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-(3)/(4)x= (1)/(4)x`

Kayla have

`(3)/(4)x`

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

so

Kayla returned------>
`(1)/(3)x`

Now

Matt have

`(1)/(4)x+(1)/(3)x=(3)/(12)x+(4)/(12)x=(7)/(12)x`

therefore

the answer is

`(7)/(12)`