Natalie earns $2.50 for each CD she sells and $3.50 for each DVD she sells. Natalie sold 45 DVDs last year. She earned a total of $780 last year selling CDs and DVDs.

Write an equation that can be used to determine the number of CDs (c) Natalie sold last year. How many CDs did Natalie sell last year? Show all work.

Natalie claims that she can earn more money this year by selling only 1/3 the number of CDs that she sold last year and by tripling the amount of DVDs she sold last year. Is Natalie's claim correct? Use words, numbers, and/or symbols to support your answer.

1 answer

number of CD's --- x
number of DVDs --- 45

2.5x + 3.5(45) = 780
times 10
25x + 35(45) = 7800
25x + 1575 = 7800
25x = 6225
x = 249

she sold 249 CDs last year

her new plan:
number of DVDs she plans to sell = 135
number of CDs she plans to sell = (1/3)(249) = 83

income: 2.5(83) + 135(3.5) = 680

Looks like Natalie skipped a few math classes