Lesson In a jar, all but 6 are red marbles
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<H2>In a jar, all but 6 are red marbles</H2> <H3>Problem 1</H3>In a jar of red, green, and blue marbles, all but 6 are red marbles, all but 8 are green, and all but 4 are blue. What percent of the marbles aren’t blue ? <B>Solution</B> <pre> From the condition, we can determine how many marbles of each color were there in the jar. Indeed, we have these equations, where R is the number of red marbles, G is the number of green marbles and B is the number of blue marbles G + B = 6 (1) ("all but 6 are red marbles") R + B = 8 (2) ("all but 8 are green marbles") R + G = 4 (3) ("all but 4 are blue marbles") ------------------------ Add equations (1), (2) and (3) 2*(R + G + B) = 6 + 8 + 4 = 18 ===========> R + G + B = 9. (4) Now, subtracting from equation (4) equations (1), (2) and (3), one after another separately, we get R = 3; G = 1; B = 5. Now the answer to the problem's question is <U>The ratio</U> is {{{(3+1)/(3+1+5)}}} = {{{4/9}}}; <U>The percentage</U> is {{{(4/9)*100}}} = 44.44%. <U>ANSWER</U> </pre> My other additional lessons on Miscellaneous word problems in this site are - <A HREF=https://www.algebra.com/algebra/homework/word/misc/I-do-not-have-enough-savings-now.lesson>I do not have enough savings now</A> - <A HREF=https://www.algebra.com/algebra/homework/word/misc/How-many-boys-and-how-many-girls-are-there-in-a-family.lesson>How many boys and how many girls are there in a family ?</A> - <A HREF=https://www.algebra.com/algebra/homework/word/misc/What-is--the-last-digit-of-the-number-a%5En-.lesson>What is the last digit of the number a^n ?</A> - <A HREF=https://www.algebra.com/algebra/homework/word/misc/Find-the-last-three-digits-of-these-numbers-.lesson>Find the last three digits of these numbers</A> - <A HREF=https://www.algebra.com/algebra/homework/word/misc/What-are-the-two-last-digits-of-the-number-3%5E123%2B7%5E123%2B9%5E123.lesson>What are the last two digits of the number 3^123 + 7^123 + 9^123 ?</A> - 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