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Thomas has a collection of 25 coins some are dimes and some are quarters. If the total value of all the coins is $5.05, how many of each kind of coin are there?

Answer 1

Julia Adams

Thomas has 8 dimes and 17 quarters

Let's start by designating Thomas's number of dimes as #d# and his number of quarters as #q#.

Next, we can write the following since we know he has 25 coins:

#d + q equals #25#

Additionally, since we are aware that the sum of the dimes and quarters equals #$5.05#, we can also write:

5.05# = #0.10d + 0.25q

After #q#'s first equation is solved, we obtain:

25 - d# = #d + q - d

#q equals 25 - d#

Now that #q# has been replaced with #25 - d#, we can solve for #d# in the second equation:

5.05# = #0.10d + 0.25(25 - d)

5.05# = #0.10d + 6.25 - 0.25d

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Answer 2

Kennedy Adams

There are 17 dimes and 8 quarters.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.