Question

Philip needs to incorporate at least 200 roses in his floral arrangements for a wedding. Each centerpiece will have 24 roses, and each bouquet will have 10 roses. Write an inequality to represent the situation, if x represents the number of centerpieces Philip makes, and y represents the number of bouquets.

Answer 1

`24x+10y\geq 200`

Explanation:

Givens:

• Phillip needs at least 200 roses.
• There will be 24 roses per centerpiece.
• There will be 10 roses per bouquet.
• 
  `x` represent the number centerpieces, and
  `y` represents the number of bouquets.

According to the problem, we can define the number of roses per a centerpiece:
`24x`

The number of roses per bouquet:
`10y`

So, the problem restricts the amount of roses, at least 200, that means, 200 or more than 200 roses. Therefore the expression that represent the amount of roses would be:

`24x+10y\geq 200`

As you can observe, the inequality includes the 200 roses restriction, and the amount of roses per centerpieces and per bouquet.

Answer 2

24 x + 10 y >= 200

Explanation:

as x represents centerpiece and y represent bouquet and total number of roses should be atleast 200 which means we can use roses more than 200 but not less than 200, the equation will be:

24 x + 10 y >= 200