Question

HELP ASAP!!!!

Lydia is creating floral centerpieces for a friend's wedding. She is trying to decide the amount of tulips and peonies she should include in the centerpieces. The table below shows the number of flowers she plans to use in each centerpiece. The total number of flowers used for each centerpiece should be no more than 21 flowers.


Flower Type Number

Sweet Pea 8

Hyacinth 2

Tulip t

Gardenia 3

Peony p


First, select the inequality that can be used to represent the number of peonies, p, and tulips, t, Lydia can use in each centerpiece. Then, select possible combinations of peonies and tulips that could be in a centerpiece to satisfy the inequality.

answers

13 - (t + p) ≤ 21

13 + p + t ≥ 21

3 tulips and 9 peonies

2 tulips and 3 peonies

13 + t + p ≤ 21

6 tulips and 4 peonies

5 tulips and 3 peonies

21 - p + t ≥ 13

Answer 1

9514 1404 393

Answer:

• 13 + t + p ≤ 21
• 5 tulips and 3 peonies
• 2 tulips and 3 peonies

Explanation:

"No more than 21" means "less than or equal to 21." The total of flowers Lydia has listed is ...

8 + 2 + t + 3 + p = 13 +p +t

Lydia wants this less than or equal to 21, so the appropriate inequality is ...

13 +p +t ≤ 21

__

Subtracting 13 from both sides gives us a relation that helps us better see the possible values of p and t.

p +t ≤ 8

Then suitable numbers of peonies and tulips will numbers that total 8 or less. Of the choices listed, ones that match that requirement are ...

2 tulips and 3 peonies

5 tulips and 3 peonies