nth grade \( > \pm 0.13 \) Percent error: word problems 6 UY The scale at the cash register at Kirby Grocers needs to be repaired. It always shows a weight that is \( 6 \% \) less than the correct weight. If the scale shows that a bunch of bananas weighs 1.5 pounds, what is the actual weight of the bananas? Round your answer to the nearest tenth. Submit

To find the actual weight of the bananas when the scale shows 1.5 pounds and is off by 6%, we need to set up the equation based on the information that the scale is under-reporting the weight. Let's represent the actual weight as \( x \). According to the scale, the relationship can be stated as: \[ 0.94x = 1.5 \] To find the actual weight \( x \), divide both sides by 0.94: \[ x = \frac{1.5}{0.94} \approx 1.5957 \] Rounding to the nearest tenth, the actual weight of the bananas is approximately \( 1.6 \) pounds. Isn't it fascinating how a simple percentage error can affect everyday tasks like grocery shopping? Meanwhile, whether we realize it or not, precision in these small details can save us from unexpected surprises at the checkout! When calculating percentages or dealing with weighted errors, a common mistake is neglecting to convert the percentage into a decimal form before performing calculations. Always remember to express percentages as decimals—this way, you’ll find your results to be much more accurate and reliable!