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
