landencarter209
Answered

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Lee has a piggy bank with 39 total coins. There are dimes and nickels that total to $3.20. How many dimes and nickels does he have?

need help asap

Sagot :

elizabeth12years

Answer:

26 dimes are worth $2.60, and 12 nickels are worth $0.60. $2.60 plus $0.60 is $3.20.

Step-by-step explanation:

Let N represent the number of nickels. Let D  represent the number of dimes. Each nickel is worth 5 cents, so the value of the nickels in cents is . Likewise, the value of the dimes is  cents. Finally, the total amount of money is $3.20 which is the same as 320 cents. Putting it all together you have:

N + D= 38

5N + 10D= 320

If you solve the first equation for  in terms of  you get:

N = 38 - D

giving you an expression involving  that is equal to  and that can be substituted in place of  in the other equation.

5( 38 - D) + 10D= 320

Now solve for D .

190 - 5D = 320

190 + 5D = 320

5D = 320 - 190 = 130

D= 26

So there are 26 dimes and therefore there must be 12 nickels.

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