Question

A bag contains a total of 300 purple and yellow

beads. Without looking, a student chooses a

bead, records the color and places it back in the

bag. The student records 9 purple beads and 16

yellow beads. What is the best prediction of the

total number of yellow beads in the bag?

Answer 1

The best prediction of the total number of yellow beads in the bag is 192.

Explanation:

We solve this question using proportions, by a rule of three.

We have that:

In the bead, there are 16 yellow beads out of 9 + 16 = 25. So how many are expected to be out of 300.

16 yellow - 25 beads

x yellow - 300 beads

Applying cross multiplication:

`25x = 300*16`

`x = (300*16)/(25)`

`x = 192`

The best prediction of the total number of yellow beads in the bag is 192.