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jmc

algebra junior

Problem

Connie is starting an exercise program. On June 1, she will do 25 sit-ups. Each day after that, she will increase her number of sit-ups by four. On which date during the month of June will Connie first do more than 100 sit-ups in one day?
Solution
On June th, Connie will do sit-ups. In this problem, we are trying to find the smallest positive integer such that Simplifying the inequality yields , or . The smallest positive integer that satisfies this simplified inequality is ; hence, Connie will do more than 100 sit-ups in one day on .
Final answer
\text{June 20}