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

Question

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

UpStudy AI · Accepted Answer

To determine the actual weight of the bananas, let's break down the problem step by step.

**Given:**
- The scale shows a weight that is **6% less** than the actual weight.
- The scale displays the bananas as **1.5 pounds**.

**Let:**
- **$$ W $$** be the actual weight of the bananas.

**Understanding the Problem:**
If the scale shows a weight that is 6% less than the actual weight, it means the displayed weight is **94%** of the actual weight (since 100% - 6% = 94%).

**Setting Up the Equation:**
$$
0.94 \times W = 1.5 \text{ pounds}
$$

**Solving for $$ W $$:**
$$
W = \frac{1.5}{0.94} \approx 1.5957 \text{ pounds}
$$

**Rounding to the Nearest Tenth:**
$$
W \approx 1.6 \text{ pounds}
$$

**Answer:**  
The actual weight of the bananas is **1.6 pounds**.
The actual weight of the bananas is 1.6 pounds.

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