63.2k views
2 votes
The owner of a music store ordered merchandise with a total value of $11000 from her supplier. She ordered CDs costing $10 each and DVDs costing $20 each. If she ordered 200 more CDs than DVDs, how many of each did she order?

1 Answer

3 votes

Answer:

500 CDs and 300 DVDs.

Explanation:

Given:

The owner of a music store ordered merchandise with a total value of $11000 from her supplier.

She ordered CDs costing $10 each and DVDs costing $20 each.

If she ordered 200 more CDs than DVDs.

Question asked:

How many of each did she order?

Solution:

Let number of DVDs ordered by her =
x

Then the number of CDs ordered by her =
x+200

Cost of 1 CD = $10

Cost of
x+200 CDs =
10(x+200)=10x+2000

Cost of 1 DVD = $20

Cost of
x DVD =
20x

Total value of her ordered = $11000

Cost of
x+200 CDs + Cost of
x DVDs = $11000


10x+2000+20x=11000\\ \\ 30x+2000=11000\\ \\ Subtracting\ both\ sides\ by\ 2000\\ \\ 30x+2000-2000=11000-2000\\ \\ 30x=9000\\ \\ Dividing\ both\ sides\ by \ 30 \\ \\ x=300

Number of DVDs ordered by her =
x = 300

Number of CDs ordered by her =
x+200 = 300 + 200 = 500

Therefore, she ordered 500 CDs and 300 DVDs from her supplier.

User RelativeJoe
by
7.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.