Answer :
Final answer:
The statement given in the problem translates to the equation: 7x - 11 = 5 + 6x. Solving this equation, we find that x = 16; therefore, Mary has earned 16 college credits.
Explanation:
This question is a classic example of an algebraic word problem. Let's denote the number of college credits Mary has earned as 'x'. Our task is to find this 'x'.
We're given the statement: 'Eleven less than 7 times the number of college credits Mary has earned is 5 more than 6 times the number of her credits.' This translates to the following equation: 7x - 11 = 5 + 6x.
Now, let's solve this equation for 'x'.
First, we need to get rid of the 6x on the right side of the equation: 7x - 6x = 5 + 11.
This simplifies to x = 16. So Mary has earned 16 college credits.
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