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EXOEXOEXO
 one year ago
every marble in a jar has either a dot, a stripe, or both. the ratio of striped marbles to non striped marbles is 3:1, and the ratio of dotted marbles to non dotted marbles is 2:3. if six marbles have both a dot and a stripe, how many marbles are there all together?
EXOEXOEXO
 one year ago
every marble in a jar has either a dot, a stripe, or both. the ratio of striped marbles to non striped marbles is 3:1, and the ratio of dotted marbles to non dotted marbles is 2:3. if six marbles have both a dot and a stripe, how many marbles are there all together?

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mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Let s=number of striped marbles (includes both striped and dotted) d=number of dotted marbles (includes both striped and dotted) 6=number of both then d6=number of nonstriped marbles s6=number of nondotted marbles We have s/(d6)=3/1 => s=3(d6) ...(1) d/(s6)=2/3 => 3d=2(s6) ...(2) solve for s and d To check your answer, number of striped is slightly less than twice the dotted ones, or put back you solutions into (1) and (2) and see if the equations hold.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Let the number of marbles with a dot be \(x\) and the number of marbles with a stripe be \(y\). Then the number of nondotted marbles is y+6 and the number of nonstriped marbles is x+6. Employing the given ratios we have\[3(y+6)=x\]\[2(x+6)=3y\]Solve this system for \(x\) and \(y\), and add 6 to the total.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Messed my system of equations up

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[y+6=3x\]\[3(x+6)=2y\]That's better
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