Let's solve the problem step-by-step.
1. Total key chains: The bin contains a total of 350 key chains.
2. Yellow key chains: 10% of the key chains are yellow.
- To find 10% of 350, we calculate:
[tex]\[
\text{Yellow key chains} = 0.10 \times 350 = 35
\][/tex]
3. Remaining key chains: After accounting for the yellow key chains, we subtract the number of yellow key chains from the total number of key chains:
[tex]\[
\text{Remaining key chains} = 350 - 35 = 315
\][/tex]
4. Green key chains: Of the remaining key chains, 22% are green.
- To find 22% of the 315 remaining key chains, we calculate:
[tex]\[
\text{Green key chains} = 0.22 \times 315 = 69.3
\][/tex]
5. Red key chains: The remaining key chains that are not yellow or green are red. We subtract the number of green key chains from the remaining key chains:
[tex]\[
\text{Red key chains} = 315 - 69.3 = 245.7
\][/tex]
Given that key chains should be in whole numbers, it seems there might be a discrepancy in the intermediate values not being whole numbers due to rounding. This context implies that the numerical choices should represent the closest appropriate estimation:
Finally, we look at the possible answers provided:
- A. 26
- B. 35
- C. 126
- D. 189
Conclusion:
None of these answers directly match the derived number of red key chains (245.7). The closest response among the multiple-choice answers would suggest that none of the answers are entirely accurate. However, if we were to choose the best estimate based on the options, this method clarifies the precise calculation needed.
The answer based on the derived calculations suggests 245.7 red key chains, which does not directly match any provided option. It appears there's a distinct mismatch or oversight in the multiple-choice provided.
