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Calculating Percent Increase in Football Players and Foul Shot Attempts in Basketball

This document explores two mathematical scenarios involving percentage calculations in sports. The first scenario examines how the number of football players increased from 40 to 50, leading to a 25% increase compared to last year's count. The second scenario addresses Jan's basketball foul shots, where she makes 60% of her attempts and misses 143 shots. We solve for the total foul shots attempted using her success rate and the number of missed shots. Engage with these practical applications of percentage calculations in sports contexts.

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Calculating Percent Increase in Football Players and Foul Shot Attempts in Basketball

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  1. #56) Last year 40 students went out for football. This year, 50 students are out for football. This year’s increase is what percent of last year’s number of football players? This year’s increase is what percent of last year’s number of football players? x = percent (in decimal form) 50 – 40 = 10  10 = x 40 10 = 40x 40 40 x = 0.25 This year’s increase is 25 % of last year’s number of football players.

  2. #58) In basketball, Jan makes 60% of her foul shots. She misses 143 foul shots during the season. About how many foul shots did she attempt? “Grrr … That doesn’t help! I don’t have how many were made nor how many were attempted!” # foul shots made = 60% # of fouls shots attempted “Wait a minute! I’m not given how many shots ARE made, but I’m given how many are NOT made!” If 60% of the shots ARE made, what % of the shots are NOT made?

  3. #58) In basketball, Jan makes 60% of her foul shots. She misses 143 foul shots during the season. About how many foul shots did she attempt? # foul shots NOT made = 40% # of fouls shots attempted Decimal form 143 = .40 x = # of foul shots attempted x  143 = .40 x 1 Since this is multiple choice, you can substitute in each answer to see which one works. 143 = .40x .40 .40 357.5 = x A) 86 B) 238 C) 358 D) 57

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