a nar contains quarters and dimes. There are 15 more quarters than dimes. The total value of the coin is $23. Which system of equations can be used to find the number of the quarters q and the number of dimes d.

A.) q=d-15
0.25 + 0.1d= 0.23

B.) q = d+15
0.25q + 0.1d = 0.23

C.) d=q +15
0.25q +0.1d= 23

D.) q=d +15
0.25q + 0.1d= 23

Please show me a work. Thank you thank uoi thank you

Question

a nar contains quarters and dimes. There are 15 more quarters than dimes. The total value of the coin is $23. Which system of equations can be used to find the number of the quarters q and the number of dimes d.

A.) q=d-15
0.25 + 0.1d= 0.23

B.) q = d+15
0.25q + 0.1d = 0.23

C.) d=q +15
0.25q +0.1d= 23

D.) q=d +15
0.25q + 0.1d= 23



Please show me a work. Thank you thank uoi thank you

anonymous · Answer

Assume  q = d
but because there are 15 more quarter than dimes so it has to add 15 into d to make it equal to q

anonymous · Answer

there fore q = d + 15

anonymous · Answer

$$\{10 d+25 q=2300,q-15=d\} $$
d=55, q=70

anonymous · Answer

the total value for each kind calculate by multiply the number coin with its value
0.25q + 0.1d = 23
Now you simplify it to get the second equation. Now you have it

anonymous · Answer

D is the answer

anonymous · Answer

Anyone else calculate d=55 and q=70 using dollars?

bibby · Answer

aye http://www.wolframalpha.com/input/?i=q%3Dd%20%2B15%3B%200.25q%20%2B%200.1d%3D%2023&t=crmtb01