Question

Avery randomly selects 50 colored pencils from a basket and finds that 2 are not sharpened. If the basket contains 300 colored pencils, how many would you expect to be unsharpened?

Answer 1

[AI-generated answer — Bot]

We can use proportions to answer this question. If Avery randomly selects 50 colored pencils from a basket of 300, that means she is selecting:

50/300 = 1/6

or 16.67% of the total colored pencils. Therefore, we can expect that the proportion of unsharpened colored pencils to the total number of colored pencils in the basket will also be 1/6 or 16.67%. To find out how many colored pencils we would expect to be unsharpened, we can set up a proportion:

unsharpened colored pencils/total colored pencils = 1/6

We know that there are 300 total colored pencils in the basket, so we can solve for the number of unsharpened colored pencils:

unsharpened colored pencils/300 = 1/6

unsharpened colored pencils = (1/6)*300

unsharpened colored pencils = 50

Therefore, we would expect 50 colored pencils in the basket to be unsharpened.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine how many colored pencils would be unsharpened, we can use a proportion:

Let's define the number of unsharpened colored pencils as X.

According to the information given, Avery randomly selects 50 colored pencils, and out of those 50, 2 are unsharpened. We can set up the proportion:

2 unsharpened pencils / 50 total pencils = X unsharpened pencils / 300 total pencils

To solve for X, we can cross-multiply:

2 * 300 = 50 * X

600 = 50X

Now, divide both sides of the equation by 50 to isolate X:

600 / 50 = X

X = 12

Therefore, based on this proportion, we would expect around 12 colored pencils to be unsharpened out of the 300 total pencils in the basket.