Question 1186897
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"The rest of the muffins were vanilla and blueberry in the ratio of 5:7"<br>
Given that ratio...<br>
Let 5x = # of vanilla muffins
Let 7x = # of blueberry muffins<br>
(NOTE: That is almost always a good way to start on a problem where a ratio like 5:7 is given.)<br>
"Half of the muffins were chocolate."<br>
That means the number of chocolate muffins is equal to the total number of vanilla and blueberry muffins.  So...<br>
Let 12x = # of chocolate muffins<br>
"There were 1800 more chocolate muffins than blueberry muffins."<br>
Change to wording so it reads exactly like an algebraic equation:<br>
The number of chocolate muffins was 1800 more than the number of blueberry muffins.<br>
12x = 7x+1800<br>
Solve for x using basic algebra.  Then the answer (total number of muffins) is 24x.<br>