   SEARCH HOME Math Central Quandaries & Queries  Question from Zena, a student: There are 227 coins altogether in 3 parking meters. The second meter has 37 more coins than the first meter. The third meter has twice as many coins as the second. How many coins in each meter? Hi Zena,

The second statement says that if you knew how many coins were in the first meter you could easily calculate the number in the second meter. The third statement then says that if you knew how many coins were in the second meter you could easily calculate the number in the third meter. Hence the key to this problem is the number of coins there are in the first meter.

• Let C be the number of coins in the first parking meter.

• How many coins are there in the second parking meter?

• How many coins are in the third parking meter?

• How many coins are there in total?

• This number must be 227.

• Solve for C?

Penny     Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.