Question

ron and his friends like to send messages to one another. one evening, ron estimated how many messages hed sent that day. when he looked at his phone, he saw hed sent 25 messages. his estimate had been 40% more than that. how many messages did ron estimate hed sent?
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Explanation:

Step1: Let the estimated number be \( x \). The actual number (25) is 40% more than the estimate, so the actual number is \( x + 0.4x = 1.4x \).

We know \( 1.4x = 25 \)? Wait, no, wait. Wait, the problem says: His estimate had been 40% more than that (the actual 25). Wait, re-reading: "he saw he’d sent 25 messages. His estimate had been 40% more than that. How many messages did Ron estimate he’d sent?"

Oh, right! So actual is 25, estimate is 40% more than actual. So estimate \( = 25 + 0.4 \times 25 \) or \( 25 \times (1 + 0.4) \).

Step2: Calculate the estimate.

\( 25 \times 1.4 = 35 \)

Answer:

35