# SOLUTION: A jar contains quarters and nickels. There are 25 coins in the jar, and the total value of the coins is \$5.05 How many quarters and how many nickels are in the jar?

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 Question 189846: A jar contains quarters and nickels. There are 25 coins in the jar, and the total value of the coins is \$5.05 How many quarters and how many nickels are in the jar?Found 3 solutions by Edwin McCravy, vannac, greta_elisif:Answer by Edwin McCravy(9716)   (Show Source): You can put this solution on YOUR website!A jar contains quarters and nickels. There are 25 coins in the jar, and the total value of the coins is \$5.05 How many quarters and how many nickels are in the jar? >>...A jar contains quarters and nickels. There are 25 coins in the jar...<< ``` Translation: (NUMBER OF QUARTERS) plus (NUMBER OF NICKELS) equals 25 or N + Q = 25 ``` >>...the total value of the coins is \$5.05...<< ``` Translation: (5 cents times the NUMBER OF NICKELS) plus (25 cents times the NUMBER OF QUARTERS) equals 505 cents or 5N + 25Q = 505 Can you solve this system? If not post again asking how to. Answer: 6 NICKELS and 19 QUARTERS. Edwin``` Answer by vannac(1)   (Show Source): You can put this solution on YOUR website!19quarters = \$4.75, 6 nickels=0.30, \$4.75+0.30=\$ 5.05 There are 19 quarters, and 6 nickels. Answer by greta_elisif(10)   (Show Source): You can put this solution on YOUR website!A jar contains quarters and nickels. There are 25 coins in the jar, and the total value of the coins is \$5.05 How many quarters and how many nickels are in the jar? 1. Define the variables: q = number of quarters n = number of nickels ❧ 3. Define two more values: = value of the quarters, in dollars = value of the nickels, in dollars ❧ 3. Since the number of quarters plus the number of nickels equals 25, set up this equation to solve: ❧ 4. Solve for one variable by subtracting the other from both sides: ❧ 5. Since the value of the quarters plus the value of the nickels equals \$5.05, set up this equation next: ❧ 6. Replace q with what it equals: ❧ 7. Distribute .25: ❧ 8. Simplify the variable terms: ❧ 9. Subtract 6.25 from both sides: ❧ 10. Divide both sides by -.2: ❧ 11. With n found, q can be found by replacing it in with what it equals: ❧ 12. Subtract and get: ❧ 13. Combine the answers with the definitions of the variables to write the answer: “There are 19 quarters and 6 nickels in the jar.” ❧ 14. To check: Add 19 and 6, getting 25. and Multiply the value of a quarter times 19, getting \$4.75, and the value of a nickel times 6, getting \$.30, and add the amounts of money, getting \$5.05.