Respuesta :
a)The number of marbles they have altogether willl be 230.
b)The no of marbles that must be given to Pete will be 32.
What is the difference between a ratio and a proportion?
A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
Let the no of marble Pete, ben and Leon will have x,y, and z respectively.
From the given condition;
y = 30+x
z=2x
z:y=6:5
z:y=6:5
y=5z/6
Substitute the obtained values;
[tex]\rm \frac{5z}{6} = 30+\frac{z}{2} \\\\ \frac{5z}{6} =30+\frac{z}{2} \\\\ \frac{10z-6z}{12} =30\\\\\ z=90[/tex]
Substitute the value we get;
x=45
y=95
The no of marble they have all together;
⇒x+y+z
⇒45+95+90
⇒230
If all the marble has to be distributed in an equal manner. The equivalent no of marble for everyone is;
n=(45+95+90)/3
n=76.66≈77
The no of marbles must be given to pete so that the boys are to share the marbles equally;
⇒77-45
⇒32
The number of marbles they have altogether willl be 230 and the no of marbles that must be given to Pete will be 32.
To learn more about the ratio, refer to the link;
https://brainly.com/question/14335762
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