the ratio of 4 less than a number to 26 more than that number is 1 to 3. What is the number?
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OpenStudy (anonymous):
represent the number as x, write the ratio as a fraction with an expression in the numerator and denominator and then set it equal to 1/3. cross multiply and solve for x
OpenStudy (anonymous):
e.g. if we call a number x, what is an expression for 4 less than that number x, and what is another expression for 26 more than that number x
OpenStudy (anikate):
i dont get it?
OpenStudy (anonymous):
ok, so if I say I have 4 less than 25 dollars, I have 25-4 dollars=21, right? So 4 less than x would be...
OpenStudy (anikate):
4-x
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OpenStudy (anonymous):
right, so 26 more than x is x +26
OpenStudy (anonymous):
and the ratio of two expressions can be written as a fraction
so 4-x/x+26
OpenStudy (anikate):
that's the answer
OpenStudy (anonymous):
well almost, you need to set it equal to the ration they give you and then solve for x
OpenStudy (anonymous):
ratio*
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OpenStudy (anikate):
so it would be?
OpenStudy (anonymous):
4-x/x+26=1/3 Cross multiply to get 3(4-x)=x+26. 12-3x=x+26, 2x=38, x=19