Question

Your piggy bank has a total of 43 coins in it; some are dimes and some are nickels. If you have a total of $3.60, how many dimes do you have?

Numerical Answers Expected!

Answer 1

Let d = dimes, n = nickles, and money in terms of cents


# dimes + # nickels = 43
d + n = 43

dime total + nickel total = 360
10d + 5n = 360

You end up with two equations:
10d + 5n = 360
d + n = 43

What values of d and n will make the above true?

10d + 5n = 360
10d + 10n = 430 {multiplied both sides by 10}

-5n = -70 {subtracted bottom equation from top equation}

n = 14 {There are 14 nickels}

d + n = 43
d + 14 = 43
d = 29 {There are 29 dimes}

Answer 2

Are you taking FLVS ALGebra

Answer 3

Why?

Answer 4

Well, I am too

Answer 5

I have seen these questions before

Answer 6

Yeah i was taking it but now im doing a worksheet

Answer 7

oh ok