SOLUTION: On your way to the movies you grab 50 coins out of the change dish. There are two fewer dimes than twice the number of quarters and two fewer nickels than three times the number of

Question 228328: On your way to the movies you grab 50 coins out of the change dish. There are two fewer dimes than twice the number of quarters and two fewer nickels than three times the number of quarters. You have picked up $5.10, just enough for the matinee. What coins do you have?
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
On your way to the movies you grab 50 coins out of the change dish. There are two fewer dimes than twice the number of quarters and two fewer nickels than three times the number of quarters. You have picked up $5.10, just enough for the matinee. What coins do you have?

Step 1. Let be the number of quarters.

Step 2. Let be the dollar value of quarters.

Step 3. Let be the number of dimes since there are two fewer dimes than twice the number of equrters

Step 4. Let be the dollar value of dimes.

Step 5. Let be the number of nickels since there are two fewer nickels than three times the number of quarters

Step 6. Let be the dollar value of nickels

Step 7. Then since the total number of coins is 50.

Then, or so that .

With (quarters), then (dimes) and (nickels). Note number is 50.

Now check the dollar value.

which is a true statement.

Step 8. ANSWER: The number of quarters is 9, the number of dimes is 16 and the number of nickels is 25.

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

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