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Mathematics 21 Online
OpenStudy (anonymous):

FAN AND MEDAL! Lydia goes to the gym every second day. She plays tennis every fifth day. On May 1st, she did both. On which other days in May will she go to the gym play tennis?

OpenStudy (anonymous):

you dont have to explain everything! just a little bit of explanation and the answer

geerky42 (geerky42):

\(\text{Every 2 days} \rightarrow \text{goes to the gym} \\~\\ \text{Every 5 days} \rightarrow \text{play tennis}\) So \(LCM(2,5) = 10\) since because well... \(10 = 2\times5\) So since she started on may 1st, she will do it again in next 10 days, which is May 11th In next 10 day is May 21th. Another 10 days is May 31. Does that help?

geerky42 (geerky42):

Sorry I already typed it out, but it should help anyway.

geerky42 (geerky42):

@Brolex1220 So does that make sense?

OpenStudy (anonymous):

yes ty

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