document.write( "Question 1197731: 1) Reds varied directly as blues squared and inversely as green. When there were 160 reds, there were 4 blues and 2 greens. How many reds were there when there were 7 blues and 10 greens? \n" ); document.write( "

Algebra.Com's Answer #831123 by greenestamps(13203) $\"\"$ $\"About$

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\n" ); document.write( "If you are developing a formula for the number of reds as a function of the numbers of blues and greens, to be used repeatedly in a large number of problems like this, then you want to find the constant of variation, as the other tutor did.

\n" ); document.write( "But taking the time to do that is a waste of time when you are only solving a single problem like the given one.

\n" ); document.write( "The given number of reds is 160.

\n" ); document.write( "The number of reds varies directly as the square of the number of blues. The number of blues changes by a factor of 7/4, so the number of reds changes by a factor of (7/4)^2 = 49/16.

\n" ); document.write( "The number of reds varies inversely as the number of greens. The number of greens changes by a factor of 10/2 = 5, so the number of reds changes by a factor of (1/5).

\n" ); document.write( "The number of reds when there are 7 blues and 10 greens is

\n" ); document.write( " $\"%28160%29%2849%2F16%29%281%2F5%29=490%2F5=98\"$

\n" ); document.write( "ANSWER: 98

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