Carter has 37 coins, all nickels and dimes in the piggy bank. The value of the coins is $3.10. How many dimes does carter have?

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Carter has 37 coins, all nickels and dimes in the piggy bank. The value of the coins is $3.10. How many dimes does carter have?

Mathematics
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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.

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so one equation can be made from the first sentence and another equation can be made from the second sentence let N= number of nickels let D= number of dimes you are given N+D is?
how many coins does carter have?
37 so do you put D+N=37?

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Other answers:

yes because that is all he has is dimes and nickels
now a nickel is 5 cents or .05 dollars and a dime is 10 cents or .10 dollars also can be read as .1 dollars
so we are given .05*N+.1*D=?
.05n+.1d=3.10
right \[\text{ we have the following system \to solve } \\ N+D=37 \\ .05 N+.1D=3.1\]
if you don't like the decimal action in the second equation multiply both sides by 100 giving you 5N+10D=310
you could also divide both sides of that equation by 5 giving you N+2D=310/5
310/5=62
you have the system is: N+D=37 N+2D=62 surely this looks less ugly to solve
the question ask you to solve for the number of dimes aka what we called D
You could solve the first equation for N and then replace the second equation's N with what you found from the first
ok i got it mow thanks for the help
meow
i mean np
sorry mow made me think of meow i know you meant now though

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