A baker makes chocolate cookies and peanut cookies. His recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6. If he makes exactly 96 cookies, what is the minimum number of chocolate chip cookies he makes?
Choose one:	A) 7	B) 14	C) 21	D) 28	E) 42
7C+6P=96   We need to maximize P to minimize C so that the eq is also satisfied   Try substitution for CP to solve so that eqn is satisfied   The least value of C for which equation gets satisfied is 5   i.e. 7*6+6*9=42+54= 
<gadget id="calculator">42+54</gadget>
<output>96</output>
96   Hence 42 is the answer
<result>E</result>
A baker makes chocolate cookies and peanut cookies. His recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6. If he makes exactly 96 cookies, what is the minimum number of chocolate chip cookies he makes?