Question

Louis brings 79 pencils to school. After he gives each of his 15 classmates an equal number of pencils, he will give any leftover pencils to his teacher.
a. How many pencils will Louis’s teacher receive?
b. If Louis decides instead to take an equal share of the pencils along with his classmates, will his teacher receive more pencils or fewer pencils? Show your thinking.

Answer 1

Answer:  a. Teacher gets 4 pencils.  b. Teacher will get 11 more pencils.

Step-by-step explanation:

a. 79÷15= 5 r4

   Louis's teacher will receive 4 pencils.

b. 79÷16= 4 r15

    15-4= 11

     His teacher will recieve 11 more pencils.

Answer 2

Answer:

a. $4\ pencils$

b. His teacher will receive more pencils (See explanation).

Step-by-step explanation:

a. The total number of pencils Louis brings to school is:

$total\ pencils=79$

Then, in order to calculate the number of pencils Louis’s teacher will receive after he gives each of his 15 classmates an equal number of pencils, you need to solve the division show in the picture attached.

Notice that the remainder obtained is: $4$.

This means that Louis’s teacher will receive 4 pencils.

b. If Louis decides instead to take an equal share of the pencils along with his classmates, his teacher will receive more pencils; because the amount of pencils each classmate will receive will be less. This means that the number of pencils leftover will increase, leaving more pencils for his teacher.