.05N+.1D=10.25
N=3D
solve for N, D, then the number of coins is N+D
Luis has$ 10.25 in change in his piggy bank.the number of nickles is three times the number of dimes the number of quaters is one how many coins does he have.
2 answers
So 10.25=0.05n+0.1d+0.25q
n=3d
q=4*d+1
Substitute d and q to the top equation
So 10.25=0.05(3d)+0.1d+0.25(4*d+1)
Distribute 10.25=0.15d+0.1d+1d+0.25
Simplify 10.25=1.25d+0.25
10.25-0.25=1.25d --> 10/1.25=d--> d=8
plug 8 back into the equations
3*8=n --> n=24
4*8+1=q --> q=33
If you replace all the variables with the numbers, you should get 10.25
n=3d
q=4*d+1
Substitute d and q to the top equation
So 10.25=0.05(3d)+0.1d+0.25(4*d+1)
Distribute 10.25=0.15d+0.1d+1d+0.25
Simplify 10.25=1.25d+0.25
10.25-0.25=1.25d --> 10/1.25=d--> d=8
plug 8 back into the equations
3*8=n --> n=24
4*8+1=q --> q=33
If you replace all the variables with the numbers, you should get 10.25
1 answer