You have some quarters and some nickels in your pocket in total you have 7 coins and together they are worth 95 cents how many nickels and how many are quarters?
I know the equations will have something to do with the 7 couns and they are worth 95 cents all together
Is one of them x+y=95
3 answers
I know that there will be 3 quarters and 4 nickels because 3 quarters is 75cents and 4 more nickels equals 95, but how would I make 2 equations for the problem.
Actually one of them is x+y=7
right. x+y=7
that counts the coins. Now you have to count the value.
If you have x nickels and y quarters, then
5x+25y = 95
Now, you can insert your first equation into this one as follows:
5x+5y+20y = 95
5(x+y)+20y = 95
5(7)+20y = 95
35+20y = 95
20y = 60
y=3
so, x=4
That is how to arrive at the solution algebraically, rather than just guessing.
There are also other ways to manipulate the equations, but this one seemed quite natural to me.
that counts the coins. Now you have to count the value.
If you have x nickels and y quarters, then
5x+25y = 95
Now, you can insert your first equation into this one as follows:
5x+5y+20y = 95
5(x+y)+20y = 95
5(7)+20y = 95
35+20y = 95
20y = 60
y=3
so, x=4
That is how to arrive at the solution algebraically, rather than just guessing.
There are also other ways to manipulate the equations, but this one seemed quite natural to me.
1 answer