SOLUTION: Brandon has a jar of quarters and dimes with a total value of $6.30. The number of quarters is 6 less than twice the number of dimes. How many quarters and how many dimes does Bran
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Question 1165345: Brandon has a jar of quarters and dimes with a total value of $6.30. The number of quarters is 6 less than twice the number of dimes. How many quarters and how many dimes does Brandon have
I convert everything to cents so that the mess of decimals are eliminated. Dimes are 10 cents, quarters are 25 cents, and $6.30 is 630 cents. Let represent the number of dimes.
Solve for and then calculate
John
My calculator said it, I believe it, that settles it
(1) Define variables and expressions to represent the numbers in the problem, based on the given information.
The number of quarters is 6 less than twice the number of dimes.
Let x be the number of dimes; then the number of quarters is 6 less than two times x, or 2x-6.
(2) Write an equation, based on the other given information, that can be solved to find the value of the variable.
The total value of the coins (10 cents for each dime and 25 cents for each quarter) is $6.30, or 630 cents.
(3) Solve the equation
(Basic algebra -- I leave that to you)
(4) Answer the question
Remember that solving the equation to find the value of x does not finish the problem; you still need to use that value to find the number of dimes and the number of quarters.
(5) Check your answer.
Everybody can make errors in calculations. Take the time to verify that your answer to the problem satisfies all the conditions of the problem.
