# arithmetic

i have equal amounts of quarters,dimes nickels pennies the value can be any except what 1.23 1.68 2.46

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1. Let's say you have x number of each type of coin.

Then, the total amount you have, in dollars, is 0.25x + 0.1x + 0.05x + 0.01x = 1.23x. Since x is a whole number, the total amount you have has to be a multiple of 1.23, which leaves one of the options you have as being impossible.

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2. Actually, since you posted this as arithmetic, let me try to give an explanation without algebra. Let's say you just had 1 of each coin. Then, you would have a total of 0.25 + 0.1 + 0.05 + 0.01 = 1.23. Now if you had any other number of each type of coin, you would end up with a multiple (2, 3, 4... times) of 1.23. One of the options you have is not, so that's the answer.

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