Question

I NEED ANSWER ASAP!

Chiara has 26 coins that equal 34 cents. All the coins are pennies, p, and nickels, n. How many nickels and pennies does Chiara have? Use the table to guess and check.


1. 20 pennies and 6 nickels
2. 21 pennies and 5 nickels
3. 23 pennies and 3 nickels
4. 24 pennies and 2 nickels

Answer 1

Answer:

#4

Step-by-step explanation:

p+n=26

.01p+.05n=.34

graph it out by desmos...?

you'll get the coordinates (24,2)

Answer 2

Answer:

Chiara has 2 penny coins and 24 nickel coins

Step-by-step explanation:

Let

p ----> the number of penny coins

n ---> the number of nickel coins

Remember that

Chiara has 26 coins that equal 34 cents

so

isolate the variable x

----> equation A

34 cents=$0.34

Multiply by 100 both sides

isolate the variable x

-----> equation B

Create a table  to guess

assume  different values of n and determine the value of p in equation A and equation B

The solution is when the value of p in the equation A must be equal to the value of p in equation B

1) For n=1

equation A

equation B

2) For n=2

equation A

equation B

therefore

The solution is (2,24)

Chiara has 2 penny coins and 24 nickel coins