Question 1165345
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(1) Define variables and expressions to represent the numbers in the problem, based on the given information.<br>
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.<br>
(2) Write an equation, based on the other given information, that can be solved to find the value of the variable.<br>
The total value of the coins (10 cents for each dime and 25 cents for each quarter) is $6.30, or 630 cents.
{{{10(x)+25(2x-6) = 630}}}<br>
(3) Solve the equation<br>
(Basic algebra -- I leave that to you)<br>
(4) Answer the question<br>
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.<br>
(5) Check your answer.<br>
Everybody can make errors in calculations.  Take the time to verify that your answer to the problem satisfies all the conditions of the problem.<br>