Question

Andi sells bracelets. She recently sold 80 pairs of bracelets. Out of 80 pairs, 25 pairs were black.
Predict how many of the next 500 bracelets should you expect to be black.
150
152
154
156

Answer 1

To estimate how many of the next 500 bracelets should be expected to be black, we first need to determine the proportion of black bracelets in the previous sales.

Andi sold 80 pairs of bracelets, with 25 pairs being black. Since each pair consists of 2 bracelets, the total number of bracelets sold is:

\[ 80 \text{ pairs} \times 2 \text{ bracelets per pair} = 160 \text{ bracelets} \]

Now, the number of black bracelets sold is:

\[ 25 \text{ pairs} \times 2 \text{ bracelets per pair} = 50 \text{ black bracelets} \]

Next, we calculate the proportion of black bracelets sold:

\[ \text{Proportion of black bracelets} = \frac{50 \text{ black bracelets}}{160 \text{ total bracelets}} = \frac{50}{160} = \frac{5}{16} \]

Now, we want to predict how many of the next 500 bracelets will be black:

\[ \text{Expected number of black bracelets} = \frac{5}{16} \times 500 \]

Calculating that:

\[ \frac{5 \times 500}{16} = \frac{2500}{16} = 156.25 \]

Since we can't have a fraction of a bracelet, we can round this number to the nearest whole number, which is 156.

Therefore, the expected number of black bracelets among the next 500 bracelets is **156**.