While catching fireflies, you and a friend decide to have a competition. After mm minutes, you have (3m+13) (3m+13) fireflies and your friend has (4m+6) (4m+6) fireflies.

a. How many fireflies are caught each minute during the competition?1m+7 fireflies are caught per minute.

b. How many fireflies are caught before the competition starts? fireflies are caught before the competition starts.

Question

Mathematics

Abel Herring

15 June, 15:06

While catching fireflies, you and a friend decide to have a competition. After mm minutes, you have (3m+13) (3m+13) fireflies and your friend has (4m+6) (4m+6) fireflies.

a. How many fireflies are caught each minute during the competition?1m+7 fireflies are caught per minute.

b. How many fireflies are caught before the competition starts? fireflies are caught before the competition starts.

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Answers (1)

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Morris · Answer 1

a. 7 fireflies are caught per minute. b. 19 fireflies were already caught prior to the contest starting. a. Looking at the equations (3m + 13) and (4m + 6) where m is equal to the number of minutes since the contest began, it's obvious that there are 3+4 = 7 fireflies caught per minute. b. One again, look at the two equations. Or for that matter, calculate them both and add the results for m=0 (the moment the contest began). And upon doing so, you'll see that 13 + 6 = 19 fireflies were caught prior to the competition starting.