help with word problem

maggiemo

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Nov 3, 2010
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Joe has 26 coins consisting of quarters and dollar coins. The total value is $17
The problem states that q=quarters. I'm supposed to write an equation ____________________________=17
to find out how many quarters.
I tried making a table, but I am confused about value vs number of coins and making a problem to solve it.
 
maggiemo said:
Joe has 26 coins consisting of quarters and dollar coins. The total value is $17
The problem states that q=quarters. I'm supposed to write an equation ____________________________=17
to find out how many quarters.
I tried making a table, but I am confused about value vs number of coins and making a problem to solve it.

You have:

Let q=\displaystyle q = the number of quarters

Then 26q=\displaystyle 26 - q = the number of dollar coins

A value of a quarter is worth 0.25\displaystyle 0.25 times the value of a dollar coin.

In this equation, we are leaving out the units of money in order not to clutter the equation as much.

You multiply the value of a coin by the number of each coin, respectively. Then you add those products

and set the sum equal to 17 (dollars).\displaystyle 17 \ (dollars).

The following equation includes representatiions of the total value of the quarters added
to the total value of the dollar coins to equal 17 dollars in total value.


0.25q+1(26q)=17\displaystyle 0.25q + 1(26 - q) = 17


Solve this equation for q\displaystyle q to find out the number of quarters.
 
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