SOLUTION: Sue earned $2 for each CD she sells and $2.50 for each DVD she sells. Sue earned $950 last week selling CDs and DVDs. Write an equation to represent the number of CDs (c) and DVDs

Question 611015: Sue earned $2 for each CD she sells and $2.50 for each DVD she sells. Sue earned $950 last week selling CDs and DVDs. Write an equation to represent the number of CDs (c) and DVDs (d) Sue sold last week given that she earned $950.
Found 2 solutions by stanbon, ashipm01:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Sue earned $2 for each CD she sells and $2.50 for each DVD she sells. Sue earned $950 last week selling CDs and DVDs. Write an equation to represent the number of CDs (c) and DVDs (d) Sue sold last week given that she earned $950.
----------------------------
Equation:
value + value = value
2C + 2.5D = 950
-----
Cheers,
Stan H.
==============
Answer by ashipm01(26) (Show Source): You can put this solution on YOUR website!
There is not much work to show here, but what needs to be done is to find the terms in the description and then use them to express what was being stated.
The three terms in this description are the number CDs sold, the number of DVDs sold, and the earnings amount. So if you represent the number of CDs sold by the variable c and the number of DVDs sold by the variable d, then you have something similar to the following:

This can also be represented as a function of two variables by gathering all terms on one side of the equation as such:

That last step is not completely necessary as the problem description is simply asking for an equation, which the first form is.
The number of CDs sold (c) is multiplied by 2 because that is how much each CD is sold for. Likewise, the number of DVDs (d) sold is multiplied by 2.5 because that is how much each of the DVDs go for. And the sum of these two values results in the total earnings.
RELATED QUESTIONS
Megan bought 8 dvds and 5 cds. Each dvd costs $2 more than each cd. She spemt a total of... (answered by josgarithmetic)
Last month Dan bought two dvds and 5 cds for $65. This month he bought four dvds and... (answered by Boreal)
millie works part time selling both hats and scarves. one week she earns $114 by selling... (answered by lwsshak3)
stacey has been paid 200 per week plus 20 for each computer she sells. last week she... (answered by nerdybill)
Kenny paid $120 for 4 cds and 3 dvds. Each dvd cost $12 more than a cd. what was the cost (answered by Jc0110)
McKenzie bought 2 dvds and 7 cds. Each cd cost $2.50 less than each dvd. She spent a... (answered by josgarithmetic)
My algebra problem: The circus is coming to town. Sue is selling tickets. The first day... (answered by Alan3354)
Jodi is paid by commission as a salesperson. She earns 5% commission for each laptop... (answered by greenestamps)
sue invested 19800in two mutual accounts one earned 6% and one earned 10% at the end of... (answered by mananth)