Question

assessment practice

1. a dive shop rents snorkels out to tourists. they have 10 red snorkels, 12 blue snorkels and 7 yellow snorkels. a group of 12 people come in to rent snorkels. they are each given a random color of snorkel. which of the following is possible? select all that apply.

4 people get a red snorkel, 4 people get a blue snorkel and 4 people get a yellow snorkel.
10 people get a red snorkel, 1 person gets a blue snorkel and 1 person gets a yellow snorkel.
8 people get a red snorkel, 2 people get a blue snorkel and no one gets a yellow snorkel.
5 people get red snorkels, no one gets a blue snorkel and 7 people get yellow snorkels.
2 people get a red snorkel, 2 people get a blue snorkel and 8 people get a yellow snorkel.

Explanation:

Step1: Check the number of each - color snorkel available

The shop has 10 red snorkels, 12 blue snorkels, and 7 yellow snorkels.

Step2: Analyze each option

Option 1: 4 red, 4 blue, 4 yellow

The number of red snorkels used is 4 (less than 10), blue is 4 (less than 12), and yellow is 4 (less than 7). And \(4 + 4+4=12\) people. This is possible.

Option 2: 10 red, 1 blue, 1 yellow

The number of red snorkels used is 10 (equal to the number of red snorkels available), blue is 1 (less than 12), and yellow is 1 (less than 7). And \(10 + 1+1 = 12\) people. This is possible.

Option 3: 8 red, 2 blue, 0 yellow

The number of red snorkels used is 8 (less than 10), blue is 2 (less than 12), and yellow is 0. And \(8 + 2+0=10
eq12\) people. This is not possible.

Option 4: 5 red, 0 blue, 7 yellow

The number of red snorkels used is 5 (less than 10), blue is 0, and yellow is 7 (equal to the number of yellow snorkels available). And \(5 + 0+7 = 12\) people. This is possible.

Option 5: 2 red, 2 blue, 8 yellow

The number of yellow snorkels used is 8 (more than 7 available). This is not possible.

Answer:

4 people get a red snorkel, 4 people get a blue snorkel and 4 people get a yellow snorkel; 10 people get a red snorkel, 1 person gets a blue snorkel and 1 person gets a yellow snorkel; 5 people get red snorkels, no one gets a blue snorkel and 7 people get yellow snorkels.