Question

There are $1.95 worth of nickels and quarters in a piggy bank there are three more nickels than quarters how many of each are in the piggy bank write how you got the answer please

Answer 1

Answer:

6 quarters and 9 nickels

Step-by-step explanation:

alright so this took me like an hour or two to figure out cause I'm stubborn. but I wanted to give an in depth answer

..

1) first we need to know how to write it.

___=___+___

1.95 is the full value of all of the coins so it goes here. (___)=___+___

1.95=___+___

We will use q for number of quarters and n for number of nickels. the value of a quarter .25 and the value of a nickel is .05. put the value of a quarter here. ___=(___)+___

1.95=.25q+___

we will put the value of the nickel here ___=___+(___)

1.95=.25q+.05n

now that we know how to write it, we can move onto step two.

2) figuring out what variable n is

n=___

Since we know that there are three more nickels than quarters, we can start to solve this equation.

n=q+3

3) change (n) to (q+3). dont forget to use parenthesis!

1.95=.25q+.05(q+3)

4) i forget what its called but multiply .05 throughout your parenthesis. ill show you.

1.95=.25q+.05(q+3)

                  .05*q= .05q and .05*3=.15

1.95=.25q+.05q+.15

5) add variables together.

1.95=.30q+.15

6) subtract .15 from both sides to get rid of it.

1.95=.30q+.15

-.15            -.15

1.80=.30q

7) divide .30 from both sides to isolate the q and get the answer of quarters

1.80=.30q

/.30 /.30

6=q

8) add three to the number of quarters to get the number of nickels.

6+3=9 nickels

Answer 2

Answer:

6 quarters and 9 nickels

Step-by-step explanation:

6 quarters is equal to $1.50. 6 nickels is equal to $0.30. Those together equal $1.80, then add the three nickels bringing your total to $1.95.