At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
put x = number of quarters, which have a total value of .25x, and since there are 178 coins total if there are x quarters there are 178 - x nickels which have a total value of .05(178-x)
I always end up forgetting a variable or something.
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add them up and get there combined value
it looked good to me!
Satellite, how do you avoid making typing mistakes?
What I meant to write was:
n + q = 178
.05n + .25q = 31.50
The first time I forgot the q in the second equation. That's why I deleted it.
178 coins in quarters (0.25$) and nickels (0.05$) are worth $31.50.
If you don't have a calculator, nor pen and paper, this is how you would do it:
178 quarters are worth $44.50, that's $13 too much.
In changing a quarter for a nickel, we reduce by 0.25-0.05=$0.20. So we would change $13/0.02=65 quarters for nickels.
So we have 65 nickels and 178-65=113 quarters.