Question

A jewelry store ran a report on the pieces of jewelry that were sold last week.
pins 6
key chains 14
rings 5
pairs of cufflinks 24
Based on past data, how many of the next 91 pieces of jewelry sold should you expect to be key chains?
key chains

Answer 1

To estimate the number of key chains you should expect to be sold out of the next 91 pieces, we can use the proportion of key chains sold in the previous week.

First, we need to find the total number of pieces of jewelry sold last week:

- Pins: 6
- Key chains: 14
- Rings: 5
- Pairs of cufflinks: 24

Total pieces sold = 6 + 14 + 5 + 24 = 49

Next, we calculate the proportion of key chains sold:

\[
\text{Proportion of key chains} = \frac{\text{Number of key chains sold}}{\text{Total pieces sold}} = \frac{14}{49}
\]

Now, we can simplify that fraction:

\[
\frac{14}{49} = \frac{2}{7} \quad \text{(by dividing both the numerator and denominator by 7)}
\]

Next, we want to find out how many key chains we can expect to sell out of the next 91 pieces. We multiply the proportion of key chains by 91:

\[
\text{Expected key chains} = \frac{2}{7} \times 91 = \frac{182}{7} = 26
\]

Therefore, based on past data, you should expect to sell approximately **26 key chains** out of the next 91 pieces of jewelry.