Question

3. © MP.6 Be Precise Devin brought his snail collection

to school. He has 10 snails.
How could he put them into 2 tanks so two classes
could see them?
Write equations for all the possible ways.
One of the ways is given.
Explain how you know you have found all the ways.

Answer 1

See explanation

Explanation:

Devin brought his snail collection to school. He has 10 snails.

the smallest number of snails in the tank is 0 and the greatest number of snails in the tank is 10. Also the number of snails in each tank must be a whole number (Devin cannot put half of the snail into the tank). There are 11 whole numbers between 0 and 10.

Hence, all 11 possibilities to divide snails into two tanks are:

`\begin{array}{cc}\text{Tank 1}&\text{Tank 2}\\ \\0&10\\1&9\\2&8\\3&7\\4&6\\5&5\\6&4\\7&3\\8&2\\9&1\\10&0\end{array}`

The sums of two numbers in each row must be exactly 10 as the total number of snails Devin has.