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larisa [96]
3 years ago
5

Is it possible to change $15 into an equal number of half-dollars, quarters, and dimes?

Mathematics
2 answers:
beks73 [17]3 years ago
8 0

Answer:

no

Step-by-step explanation:


Vladimir79 [104]3 years ago
3 0

Answer:

No, it is not possible to change $15 into an equal number of half-dollars, quarters, and dimes

Step-by-step explanation:

Let there are equal number of half-dollars, quarters, and dimes

Let it be x

now, half-dollar=0.5 dollars

quarters=0.25 dollars

and dimes=0.1 dollars

0.5x+0.25x+0.1x=15

 0.85x=15

 x=17.6

which is not a whole number

Hence,  It is not possible to change $15 into an equal number of half-dollars, quarters, and dimes

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_____

<em>Additional comment</em>

For "consecutive integer" problems, it is often useful to work with the average of the numbers. The average will be the middle number of an odd number of numbers (as here), or will be halfway between the two middle numbers if their number is even.

Even if you bother to write equations, it can work to do that in terms of the average value (middle number): (x -4) +(x) +(x +4) = 180 in this case.

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