A jar of dimes and quarters contains $15.25. There are 103 coins in all. How many of each are there?

Question

anonymous · Answer

how many unknowns do you have ?

anonymous · Answer

2, number of dimes and number of quarters are unknown.

skullpatrol · Answer

How many facts do you have?

anonymous · Answer

2 facts, we know 15.25 is the total value of the coins and we know that there are 103 coins

skullpatrol · Answer

Choose a unknown and use it with a give fact to represent the other unknown.

anonymous · Answer

q = 1525 - d

skullpatrol · Answer

Let
d=number of dimes
q= number of quarters
 Choose an  unknown, d or q, and use it with a given fact, d + q = 103, to represent the other unknown.

anonymous · Answer

q = 103 - d ?

skullpatrol · Answer

Correct.

skullpatrol · Answer

Reread the problem and 
write an equation that represents relationships among the numbers in the problem.

skullpatrol · Answer

Here, we will use the other given fact that the total value of coins is $15.25.

skullpatrol · Answer

Remember: 
d=number of dimes
q= number of quarters

anonymous · Answer

25(103 - d) + 10d = 15.25?

skullpatrol · Answer

Sooo close..

. just write $15.25 as 1525
 because 10cents/dime * number of dimes = number of cents

right?

anonymous · Answer

oh alright, so 25(103-d) + 10d = 1525

skullpatrol · Answer

Solve the equation and find the unknowns asked for.

skullpatrol · Answer

"How many of each are there?"

anonymous · Answer

d = 70 q = 33?

skullpatrol · Answer

Check your results with the words of the problem. Give the answer.

anonymous · Answer

yep its correct, thank you for the help

skullpatrol · Answer

np :)