SOLUTION: Morgan is making two cookie recipes. Recipe A calls for one-third less than twice the number of cups of sugar that recipe B calls for. If she needs four and one-sixths cups of suga

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Morgan is making two cookie recipes. Recipe A calls for one-third less than twice the number of cups of sugar that recipe B calls for. If she needs four and one-sixths cups of suga      Log On


   



Question 1102016: Morgan is making two cookie recipes. Recipe A calls for one-third less than twice the number of cups of sugar that recipe B calls for. If she needs four and one-sixths cups of sugar in all, how many cups will she need for recipe A?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
---------------------------------------------------------------------
A calls for one-third less than twice the number of cups of sugar that recipe B calls for.
---------------------------------------------------------------------

A=2B-%281%2F3%292B


---------------------------------------------------------------------
he needs four and one-sixths cups of sugar in all,
---------------------------------------------------------------------

A%2BB=4%261%2F6


First substituting for A, solve for B, and then evaluating A, seems the clearest way.

But since question asks for A,...
system%28A=2B-%281%2F3%29B%2CA%2BB=4%261%2F6%29

3A=6B-B
3A=5B
B=%283%2F5%29A
-
A%2B%283%2F5%29A=4%261%2F6, LCD is 30...
A%2B%283%2F5%29A=25%2F6
multiply left and right by 30...
30A%2B18A=25%2A5
48A=125
A=125%2F48
highlight%28A=2%262%2F3%29