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(20056)   (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):
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.
|
|
|
