Question

If Mrs. Wright had 90 students, how many pieces of candy would she need in order to give them each the same amount as she did for the 27 students above?​

Answer 1

Answer:

• 150 pieces of candies.

Explanation:

In the graph each divsion on the x-axis represents 3 students and each division of the y-axis represents 5 candies left in the bowl.

Every point of the graph, i.e. every ordered pair (x, y), represents the number of candies given to the corresponding number of students.

Some pairs are:

• (0, 45), which means that when zero number of students had been given candies, there where 45 candies in the bowl.
• (3, 40), which means that 40 candies were left in the bowl after having given the candies to 3 students:

           ⇒ 45 - 40 = 5 candies were given every 3 students.

Since you might draw a line that passes through all the the points on the graph, the ratio of number of candies to number of students will be the same:

• 5 candies / 3 students

Thus, set a proportion:

• 5 candies / 3 students = x / 90 students

Solving for x:

• 5 candies / 3 students × 90 students = x

• 150 candies = x

• x = 150 candies

Therefore, Mrs Wright would need 150 pieces of candies in order to give the 90 students the same amount as she did for the 27 students.