SOLUTION: If you have 51� and you have the same number of nickels as dimes, what is the minimum number of pennies you can have?

Question 229556: If you have 51� and you have the same number of nickels as dimes, what is the minimum number of pennies you can have?

Found 2 solutions by checkley77, drj:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
3 dimes + 3 nickels + 6 pennies=30+15+6=51
Answer 6 pennies along with 3 dimes & 3 nickels.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
If you have 51� and you have the same number of nickels as dimes, what is the minimum number of pennies you can have?

Step 1. Let x be the number of nickels.

Step 2. Let x be the number of dimes since it's the same as the number of nickels.

Step 3. Let 0.05x be the dollar value of nickels

Step 4. Let .10x be the dollar value of dimes.

Step 5. Let 0.05x+0.10x=0.15x be the dollar value of nickels and dimes.

Step 6. Let y be the number of pennies.

Step 7. Let 0.01y be the dollar value of pennies

Step 8. Let 0.15x+0.01y=0.51 since the total value is 51 cents.

Step 9. I started with y=1 (since that is the minimum) and then see if x is an integer. If not, increase y until x is an integer. Finally, it turns out that, y=6, where x is an integer as shown below.

Subtract 0.06 from both sides of the equation

Divide by

Check dollar value 0.15*3+0.06=0.51 which is a true statement.

Note when x=4, then 0.15*4=0.60 cents...no pennies involve.

Note when x=2, then 0.15*2=0.30 cents but then you have 21 pennies...not a minimum.

Now, that I know the answer, you could have started with x=1 and increase it until you have the smallest amount of pennies.

Step 10. ANSWER: The minimum number of pennies is 6.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

RELATED QUESTIONS
Ethan has $1.25 in dimes nickels and pennies that�s why said many dimes and pennies and... (answered by Alan3354,josgarithmetic)
if you have 35 coins, pennies, dimes and quarters, how many of each to total $3.68 You... (answered by solver91311)
you have 17 coins in pennies, nickels, and dimes in your pockets. the value of the coins... (answered by LinnW)
You have 37 coins that are nickels, dimes, and pennies. The total value of the coins is... (answered by greenestamps)
You have 37 coins that are nickels, dimes, and pennies. The total value of the coins is... (answered by josgarithmetic,ikleyn,Edwin McCravy,greenestamps)
Meghan has $1.10 in dimes, nickels, and pennies. She has three times as many nickels as... (answered by josgarithmetic)
Megan has $1.10 in dimes,nickels, and pennies.She has three times as many nickels as... (answered by CubeyThePenguin)
If you have 140 pennies,68 nickels, and 52 dimes what percentage of the coins are... (answered by ewatrrr)
If you have 3 coins and you can only have pennies nickels and dimes list the... (answered by Fombitz)