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Autumn has $.64 worth of pennies and nickels. She has a total of 20 pennies and nickels all together. Determine the number of pennies in the number of nickels that Autumn has.

Autumn Has 64 Worth Of Pennies And Nickels She Has A Total Of 20 Pennies And Nickels All Together Determine The Number Of Pennies In The Number Of Nickels That class=

Answer :

The number of pennies and nickels are 9 and 11 respectively.

How to find the number of pennies and nickels?

Autumn has $.64 worth of pennies and nickels. She has a total of 20 pennies and nickels all together.

Therefore,

let

x = number of pennies

y = number of nickels

Hence,

x + y = 20

0.01x + 0.05y = 0.64

Multiply equation(i) by 0.01

0.01x + 0.01y = 0.2

0.01x + 0.05y = 0.64

0.04y = 0.44

y = 0.44 / 0.04

y = 11

Therefore,

x = 20 - 11

x = 9

Therefore, the number of pennies and nickels are 9 and 11 respectively.

learn more on nickels and pennies here: https://brainly.com/question/15144164

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