NYC MetroCard

[Benny]

Hi all, this is not a school problem, it is a real life problem. I live and work in NYC and use the buses and subways to get around. Each ride costs $2.25. Here is the tricky part: the MTA gives you a 7% credit when you put more than $10.00 on a metrocard at a time (e.g. you put a $10 bill into the machine, you get $10.70 on your card). Here is my question: what amount of more than $10 would I have to put on the card so that the credit I get is evenly divisible by $2.25?

I guess mathematically, the word problem woulf be:

1.07x/2.25 is the lowest possible integer. Solve for x.

Thanks!

 

[gortwell]

Hi,

Since this isn't homework I'll just give you the bad news. The least amount you can put on your card for what you are asking is $225 giving you $240.75 credit for 107 journeys.

Can you top-up with change ($12.75 for example) ?

Why does it have to be an exact number of journeys?

 

[Benny]

Not sure what "top up with change" means. As for it being an exact number, it doesn't have to be, I am just a little OCD about my money being exact.

 

[gortwell]

I'm assuming an MTA is a machine (I'm in UK so don't know). Can you put dimes and cents into the machine?

 

[Benny]

Yes, you can put in any denomination