Joseph is making kebabs. He wants each kebab to have 3 pieces of meat and 4 pieces of vegetables. Which of the following could Joseph use to make kebabs without any leftovers?

Chose 3 answers-

A

18 pieces of meat and 30 pieces of vegetables

B 20 pieces of meat and 32 pieces of vegetables

C

30 pieces of meat and 40 pieces of vegetables

D

45 pieces of meat and 60 pieces of vegetables

E

72 pieces of meat and 96 pieces of vegetables

C, D, E

Step-by-step explanation:

A and B are not using equal amounts of meat and vegetables.

Joseph could use C), D), and E) to make kebabs without any leftovers:

C) 30 pieces of meat and 40 pieces of vegetables

D) 45 pieces of meat and 60 pieces of vegetables

E) 72 pieces of meat and 96 pieces of vegetables

Step-by-step explanation:

C) 30 pieces of meat and 40 pieces of vegetables

D) 45 pieces of meat and 60 pieces of vegetables

E) 72 pieces of meat and 96 pieces of vegetables

Consider the given which states that each kebab has 3 pieces of meat and 4 pieces of vegetables, and Joseph wanted to make kebabs without any leftovers - meaning, there should be no extra piece of meat or no extra piece of vegetable.

In choosing which is the answer, make sure that the number of pieces of meat must be divisible by 3 (pieces of meat), and the number of pieces of vegetables must be divisible by 4 (pieces of vegetables). This was also based on the given.

Moreover, the quotient for meat and the quotient for vegetables must be equal to each other so that there will be no leftovers.

Therefore, the answers are C), D), and E) because these three answers satisfy the conditions above.