Asked by Anonymous
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.
Answers
Answered by
bobpursley
.05N+.1D=10.25
N=3D
solve for N, D, then the number of coins is N+D
N=3D
solve for N, D, then the number of coins is N+D
Answered by
john
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
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