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Today, Joaquín has 45 cents in his piggy bank and Marcy has 93 cents in her piggy bank. Starting tomorrow, Joaquín will add 6 cents to his bank each day and Marcy will add 4 cents to her bank each day. In how many days will the amount in Joaquín’s bank first be greater than the amount in Marcy’s bank?

 Dec 27, 2015
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Today, Joaquín has 45 cents in his piggy bank and Marcy has 93 cents in her piggy bank. Starting tomorrow, Joaquín will add 6 cents to his bank each day and Marcy will add 4 cents to her bank each day. In how many days will the amount in Joaquín’s bank first be greater than the amount in Marcy’s bank?

 

Joaquin > Marcy

\(45+6n>93+4n\\ 45+6n-45>93+4n-45\\ 6n>48+4n\\ 6n-4n>48+4n-4n\\ 2n>48\\ n>24 \)

 

24 days AFTER the beginning they wil have the same amount.  I guess this could be described as the 25th day :/

So

The first day Joaquin has more is the 26th day.

 Dec 27, 2015

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