Question

ari has a total of 22 coins consisting of pennies and nickels. the total value of the coins is $0.54. which equation can be used to find the number of pennies ari has? 0.01p 0.05(0.54 – p)

Answer 1

The number of pennies ari has 14 pennies and the equation used is p+n=22 and 0.05n+0.01p=0.54

Given that ari has a total of 22 coins consisting of pennies and nickels and the total value of the coins is $0.54.

Lets assume n = the number of nickels that Ari has.

Let p = the number of pennies that Ari has.

The given total number of coins ari has is 22.

n + p = 22

So, our first equation is n+p=22.

Now, we will find our second equation

Each penny ari going to be $0.01 and a nickel is work $0.05.

And the total is $0.54

Our second equation is 0.05n + 0.01p = 0.54

Now, we will simplify first and second equation by substituting the value of p from equation (1) into equation (2).

The value of p from equation is p=22-n

Substitute value of n in equation (2), we get

0.05n+0.01(22-n)=0.54

0.05n+0.22-0.01n=0.54

0.04n+0.22=0.54

0.04n=0.54-0.22

0.04n=0.32

n=0.32/0.04

n=8

Now, substitute value of n in equation (1), we get

n+p=22

8+p=22

p=22-8

p=14

Hence,  the equation used to find the number of pennies ari has when she has a total of 22 coins consisting of pennies and nickels and the total value of the coins is $0.54 is p+n=22 and 0.05n+0.01p=0.54.

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