SOLUTION: This is from a worksheet. Mathematics Essentials Grade 8 week 18 pg 52. I think I've got the right answer, but I don't know how to put it into an equation. That is the part I n

Question 182649: This is from a worksheet. Mathematics Essentials Grade 8 week 18 pg 52.
I think I've got the right answer, but I don't know how to put it into an equation. That is the part I need help with. Here is the problem:
There are fifty marbles in a sack: red, blue and green. There are ten more green than blue marbles in the sack. The probability of drawing a red or blue marble is one-half. Write and solve an equation to determine how many of each color marble is in the sack.
I figured the answer would be: blue 15, red 10 and green 25. Can you help me determine the equation? And is the answer right?
Found 2 solutions by Mathtut, stanbon:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
I think I've got the right answer, but I don't know how to put it into an equation. That is the part I need help with. Here is the problem:
There are fifty marbles in a sack: red, blue and green. There are ten more green than blue marbles in the sack. The probability of drawing a red or blue marble is one-half. Write and solve an equation to determine how many of each color marble is in the sack.
I figured the answer would be: blue 15, red 10 and green 25. Can you help me determine the equation?
:
let the number of red,blue,and green marbles be r,b,and g consecutively
:
g=b+10..........eq 1
r+b=25..........eq 2---->r=25-b
r+b+g=50........eq 3
:
take r+b's value of 25 from eq 2 and g's value of b+10 from eq 1 and plug those values into eq 3
:
25+b+10=50
:
number of blue marbles
:
number of red marbles
:
number of green marbles
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are fifty marbles in a sack: red, blue and green.
r + b + g = 50
-------------------------------
There are ten more green than blue marbles in the sack.
g = b + 10
--------------------------
The probability of drawing a red or blue marble is one-half.
r + b = 25 or r = 25-b
-----------------------
Write and solve an equation to determine how many of each color marble is in the sack.
---
Substitute for r and g to get an equation in "b":
(25-b) + b + (b+10) = 50
b + 35 = 50
b = 15 (# of blue marbles)
---
Since r = 25-b, r = 10 (# of red marbles)
---------
Since g = b+10, g = 25 (# of green marbles)
----------------------------------------------
blue = 15 ; red = 10 ; green = 25
You have it right.
Cheers,
Stan H.
==============================================
I figured the answer would be: blue 15, red 10 and green 25. Can you help me determine the equation? And is the answer right?

RELATED QUESTIONS
Hello, I am confused on this question | q - 8 | = 14 , I've tried it but I've gotten... (answered by josgarithmetic,MathTherapy,ikleyn)
I need help with this problem: It is from Week by Week Mathematics Essentials (answered by checkley71,stanbon)
I am hoping you can help me with this one, I think I got the right answer, but my grade... (answered by jim_thompson5910)
OK , here is the problem, solve for x. x^(1+ln x)= 7,39 Doesn�t look that complicated... (answered by longjonsilver)
Find the 20th term of a geometric sequence whose third term is 1 and common ratio is... (answered by Boreal)
202___ ___ ___ 562 ___ ___ I got 202,292,382,472, 562, 652,742 but I don't know why... (answered by CubeyThePenguin)
I need to expand into two logarithums, ln(x^2-4x+4). I know the log laws but don;t know... (answered by ewatrrr,solver91311)
I have a sequence (as a riddle from a friend), but I don't know the pattern(s)/rule(s):... (answered by ikleyn)
I have my lecture grade which at the moment is 83.6, and a lab grade of 87.1. But, my... (answered by jim_thompson5910)