SOLUTION: Jody has a collection of 116 coins consisting of dimes, quarters, and silver dollars. the number of quarters is 5 less then three-fourths of the number of dimes. the number of the

Question 215332: Jody has a collection of 116 coins consisting of dimes, quarters, and silver dollars. the number of quarters is 5 less then three-fourths of the number of dimes. the number of the silver dollares is 7 more then five-eighths of the number of dimes. how many coins of each kind are in her collection?
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Jody has a collection of 116 coins consisting of dimes, quarters, and silver dollars. the number of quarters is 5 less than three-fourths of the number of dimes. The number of the silver dollars is 7 more than five-eighths of the number of dimes. How many coins of each kind are in her collection?

Step 1. Let be the number of dimes.

Step 2. Let be the number of quarters since number of quarters is 5 less then three-fourths of the number of dimes

Step 3. Let be the number of silver dollars since number of the silver dollars is 7 more than five-eighths of the number of dimes

Step 4. Then, since Jody has a collection of 116 coins consisting of dimes, quarters, and silver dollars.

Step 5. Simplify the equation in Step 4.

Multiply 24 to both sides of the equation to get rid of denominators.

With , then and

Check total number of coins: 48+31+37=116 which is a true statement.

Step 6. The number of dimes is 31, the number of quarter is 31 and the number of silver dollars is 37.

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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