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Autumn has $0.64 worth of pennies and nickels. She has a total of 20 pennies and nickels altogether. Determine the number of pennies and the number of nickels that Autumn has.

Respuesta :

grujan50

Answer:

Correct answer: Nickels x = 11 and pennies y = 9

Step-by-step explanation:

We will first define the variables in the system:

Let be nickels x and pennies y

We will form a system to solve this problem:

5 x + 1 y = 64

x + y = 20/ · (-1)

we will first multiply the second equation by -1 and add it by the first and get:

4 x = 44 ⇒ x = 44 / 4 = 11 nickels

x = 11 nickels

from the other we get y

y = 20 - x = 20 - 11 = 9 pennies

y = 9 pennies

God is with you!!!

boffeemadrid

The number of pennies and nickels that Autumn has is required.

The number of pennies is 9 and number of nickels is 11.

1 penny = 0.01 dollars

1 nickel = 0.05 dollars

Let number of pennies be [tex]x[/tex]

number of nickels be [tex]y[/tex]

Total number of coins is 20

Total worth of coins is $0.64

[tex]x+y=20[/tex]   [tex]\times 0.01[/tex]

[tex]0.01x+0.05y=0.64[/tex]

[tex]0.01x+0.01y=0.2[/tex]

[tex]0.01x+0.05y=0.64[/tex]

Subtracting the equations

[tex]-0.04y=-0.44\\\Rightarrow y=\dfrac{0.44}{0.04}\\\Rightarrow y=11[/tex]

Finding [tex]x[/tex]

[tex]x+y=20\\\Rightarrow x=20-y\\\Rightarrow x=20-11\\\Rightarrow x=9[/tex]

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https://brainly.com/question/16302886?referrer=searchResults

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