contestada

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.

Respuesta :

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

calculista

we know that

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

2) Matt gave Kayla [tex]3/4[/tex] of the marbles

so

Now

Matt have

[tex]x-\frac{3}{4}x= \frac{1}{4}x[/tex]

Kayla have

[tex]\frac{3}{4}x[/tex]

3) Kayla returned [tex]1/3[/tex] of a jar's worth of marbles to the jar

so

Kayla returned------> [tex]\frac{1}{3}x[/tex]

Now

Matt have

[tex]\frac{1}{4}x+\frac{1}{3}x=\frac{3}{12}x+\frac{4}{12}x=\frac{7}{12}x[/tex]

therefore

the answer is

[tex]\frac{7}{12}[/tex]