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There are three types of jars containing coins. Jar type 1 has 1 dime, 2 pennies,...

There are three types of jars containing coins. Jar type 1 has 1 dime, 2 pennies, and 3 quarters. Jar type 2 has 2 dimes, 1 penny, and 1 quarter. Jar type 3 has 1 dime, 3 pennies, and 1 quarter. You can choose as many of each type of jar as you want. Solve a matrix problem to figure out how to choose jars so that you will end up with an equal amount of each type of coin. How many solutions are there (if there are any)?

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