landencarter209
Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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.

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.