Asked by polly
i have equal amounts of quarters,dimes nickels pennies the value can be any except what 1.23 1.68 2.46
Answers
Answered by
Amrit
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.
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.
Answered by
Amrit
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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