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?
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.