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# Natalie’s POTW Solution

Published on: Mar 3, 2016

#### Transcripts - Natalie’s POTW Solution

• 1. Natalie’s POTWSolution<br />
• 2. To find the maximum mass of a coin, you take the 7.0 grams and multiply it by 1.0 kilograms, plus the 2.14%. *To put 2.14% into decimal form divide it by 100.<br /> (7)(1+0.0214) =<br /> (7)(1.0214) =<br />7.1498 grams<br />
• 3. To find the minimum mass of a coin you take 7.0 grams and multiply it by 1.0 kilograms, minus the 2.14%.<br /> (7)(1-0.0214) =<br /> (7)(0.9786) =<br />6.8502 grams<br />
• 4. Now you need to take those maximum and minimum possible masses of a coin and see how many coins can fit into 1,000 grams.<br />1,000g ≈ 145.98 coins<br /> 6.8502g<br />Round to 145 coins because since it is the maximum number of coins round down to a whole number. (If we had 146 coins, the total mass would be too heavy.)<br />
• 5. To find the maximum number of coins, you do the same thing.<br />1,000g ≈ 139.86 coins<br /> 7.1498g<br />Round to 140 coins, because since it is the minimum number of coins round up to a whole number. (If we had 139 coins, the total mass would be too light.)<br />
• 6. Find the difference between the largest possible number and the smallest possible number of coins:<br />145-140=5<br />Joshua could have a difference of 5 coins.<br />