Question

A tea shop sold 500 black teas and 180 white teas during the last week. Predict how many of the next 100 drinks sold would be black teas.
60
65
74
80

Answer 1

To predict how many of the next 100 drinks sold would be black teas, we can calculate the proportion of black teas sold in the last week and then apply that proportion to the next 100 drinks.

1. Calculate the total number of teas sold:
\[
500 \text{ (black teas)} + 180 \text{ (white teas)} = 680 \text{ (total teas)}
\]

2. Calculate the proportion of black teas sold:
\[
\frac{500 \text{ (black teas)}}{680 \text{ (total teas)}} \approx 0.7353
\]

3. Apply this proportion to the next 100 drinks:
\[
0.7353 \times 100 \approx 73.53
\]

Since we can’t sell a fraction of a drink, we can round this to either 73 or 74.

Looking at the multiple-choice options provided, the best prediction is 74.