Mrs. Phan wants to buy tulips and lilies for her house. She needs at least 5 containers of tulips and at least 5 containers of lilies. Tulips cost $6 per container and lilies cost $4 per container. If Mrs. Phan has a total of $75 to spend for the tulips and lilies, what is the greatest number of containers she can buy?

She can buy a maximum number of 15 containers

Step-by-step explanation:

We are told from the question that:

Mrs. Phan needs at least 5 containers of tulips and at least 5 containers of lilies.

Tulips cost $6 per container and lilies cost $4 per container. If Mrs. Phan has a total of $75 to spend for the tulips and lilies, what is the greatest number of containers she can buy?

Let x represent the number of Can of tulips for both tulips and lilies

x ≥ 5 cans for both tulips and lilies

$6 × x + $4 × x = $75

6x + 4x = 75

10x = 75

x = 75/10

x = 7.5 cans

This means , 7.5 containers for tulips and 7.5 containers for lilies

Adding up both containers, we have :

7.5 + 7.5 = 15 containers

Therefore, the greatest number of containers she can buy is 15 containers

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