Algebra and Up:
Question: Logan has answered 0.8 times as many math questions as Spanish questions, and he has answered 5 more English questions than Spanish questions. If Logan has answered 33 questions in total, how many math questions has Logan answered?
Answer: 8 math questions
Solution: We can set up and solve the following system of equations to solve this problem:
M = 0.8S
E = S + 5
M + S + E = 33
Next, we plug the values of M and E into the third equation because they’re both already in terms of S. Now we have an equation with one variable—S. We can solve it to find that S = 10, so M must be 8. Logan has answered 8 math questions.
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