Question
Xander has a quarter for the crane game he is about to play. There are 56 key chains and 80 knick knacks in the contain What is the ratio of knick knacks to key chains? Enter your answer as a simplified fraction.
Ask by Garrett Ortega. in the United States
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The ratio of knick knacks to key chains is \( \frac{10}{7} \).
Solution
We start with the ratio of knick knacks to key chains:
\[
\frac{80}{56}
\]
Next, we simplify by dividing both the numerator and the denominator by their greatest common divisor, which is \(8\):
\[
\frac{80 \div 8}{56 \div 8} = \frac{10}{7}
\]
Thus, the simplified ratio is:
\[
\frac{10}{7}
\]
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Simplify this solution Extra Insights
To find the ratio of knick knacks to key chains, we take the number of knick knacks (80) and divide it by the number of key chains (56). This gives us the ratio \( \frac{80}{56} \). Now, we'll simplify this fraction. Both numbers can be divided by their greatest common divisor, which is 16. So, \( \frac{80 \div 16}{56 \div 16} = \frac{5}{7} \). Therefore, the simplified ratio of knick knacks to key chains is \( \frac{5}{7} \). To picture this, imagine 5 playful knick knacks for every 7 lively key chains in Xander’s crane game collection—what a colorful scene that would be! Now Xander knows exactly how many more knick knacks he has than key chains in this exciting game!
