Manuel has $54 to buy CDs and books. Each CD costs $9, and each book costs $6. He wants to buy exactly 7 items to spend all of his money. Write a system of equations that could be solved to determine the number of CDs and the number of books Manuel buys.

Phoebe

Phoebe

Answered question

2021-02-12

Manuel has $54 to buy CDs and books. Each CD costs $9, and each book costs $6. He wants to buy exactly 7 items to spend all of his money. Write a system of equations that could be solved to determine the number of CDs and the number of books Manuel buys.

Answer & Explanation

l1koV

l1koV

Skilled2021-02-13Added 100 answers

Let c be the number of CDs and b be the number of books that he buys.
Since he buys exactly 7 items, then b+c=7.
If each CD costs $9 dollars, then he will spend 9c dollars buying cc CDs. If each book costs $6, then he will spend 6b dollars buying bb books. The total amount he spends is then 6b+9c. Since he has $54 to spend, then 6b+9c=54.
The system of equations is then {b+c=7,6b+9c=54}

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?