Answer: The inequality can be written as 1.5x + 2.25y ≤ 30
Step-by-step explanation: What Rosie needs is an expression that shows the highest she can spend on tablecloths and balloons. If the question states that she cannot spend more than 30 dollars, then it simply means she can either spend a maximum of 30 dollars, OR any amount below 30 dollars. So what she needs is an inequality that shows her spending as being less than or equal to 30.
Let the balloons be represented by letter x and the tablecloths be represented by the letter y. If each balloons cost 1.50 dollars, then the total cost of balloons equals 1.5 times x or simply 1.5x. Likewise, if each tablecloth cost 2.25, then the total cost of tablecloths shall be 2.25y.
The possible number of balloons and tablecloths that she can buy based on the conditions given can be expressed as follows;
1.5x + 2.25y ≤ 30