Asked by Brady
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 1 more than four times the number of dimes. How many of each kind of coin does he have.
Answers
Answered by
Bob
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
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.