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A load of bricks weighs 7,798 ounces. Each brick weighs 67 ounces. Use compatible numbers to estimate the number of bricks in the load. (A) 101 (B) 110 (C) 127 (D) 210

Ask by Mckenzie Johnson. in the United States
Mar 17,2025

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Answer

The estimated number of bricks is approximately 110.

Solution

Let the weight of the load be \(7798\) ounces and the weight of each brick be \(67\) ounces. We estimate the number of bricks by dividing the total load weight by the weight per brick: \[ \text{Number of bricks} \approx \frac{7798}{67} \] To use compatible numbers, we can round to values that are easier to work with. For instance, rounding \(67\) ounces to \(70\) ounces and \(7798\) ounces to \(7800\) ounces gives: \[ \text{Estimated number of bricks} \approx \frac{7800}{70} \] Now, perform the division: \[ \frac{7800}{70} = 111.4286 \ldots \] Since \(111\) is closest to \(110\) among the provided answer choices, the estimated number of bricks is approximately \(110\). Thus, the answer is \(110\).

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To estimate the number of bricks using compatible numbers, you can round the weight of the load and the weight of each brick to a simpler form. Rounding 7,798 ounces to 8,000 ounces and 67 ounces to around 70 ounces makes the math a bit easier. Dividing 8,000 by 70 gives approximately 114.3, which suggests we could round to around 110 bricks. So, the closest answer is (B) 110. Now, why round? Using compatible numbers helps simplify calculations, making estimations quicker and more manageable! It's like finding shortcuts when navigating city streets - you still get to your destination without getting bogged down in the details.

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