Question

You have $39 to spend at the music store. Each cassette tape costs $5 and each CD costs $11. Write a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs.

Answer 1

5x + 11y < = 39 (thats a less then or equal sign)

Answer 2

Answer:  The required inequality is $5x+11y\leq 39.$

Step-by-step explanation:  Given that we have $39 to spend at the music store. Each cassette tape costs $5 and each CD costs $11.

We are to write a linear inequality that represents this situation.

The number of tapes and the number of CDs are represented by x and y respectively.

The cost of x tapes is given by

$5\times x=5x$

and the cost of y CDs is given by

$11\times y=11y.$

Since we have $39 to spend, so the inequality that represents the situation is

$5x+11y\leq 39.$

Thus, the required inequality is $5x+11y\leq 39.$