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To raise money for the
music program, your
choir sells programs for
$.50 and CDs of its music
for $5 at a concert. It costs
$.15 to produce each
program and $1.75 to
produce each CD.
Everything sells for $400,
yielding a profit of $265.
How many CDs were
made?

Respuesta :

adioabiola

Answer:

x = 60

y = 200

Step-by-step explanations:

Selling price:

Price of program = $0.5

Price of music = $5

Cost of production :

Program = $0.15 per program

CD = $1.75 per CD

Total Revenue = $400

Total Profit = $265

Let

Number of CD's = x

Number of program's = y

(0.5y + 5x) = 400

0.5y = 400 - 5x

y = (400 - 5x) / 0.5

y = 800 - 10x (1(

Cost of production:

1.75x + 0.15y

Profit = Total Revenue - Total cost of production

5x + 0.5y - 1.75x + 0.15y = 265

3.25x + 0.35y = 265 (2)

Put y = 800 - 10x in (2)

3.25x + 0.35y = 265

3.25x + 0.35(800 - 10x) = 265

3.25x + 280 - 3.5x = 265

-0.25x = - 15

Divide both sides by -0.25

x = -15/ -0.25

x = 60

y = 800 - 10x

= 800 - 10(60)

= 800 - 600

= 200

y = 200

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