Question
Cody bought 55 grams of a painkiller and took 200 milligrams of it. Calculate the quantity of the painkiller left, in grams. Painkiller left =
Ask by Erickson Collins. in Canada
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Painkiller left = 54.8 grams
Solution
1. Convert the total mass from grams to milligrams:
- \(55 \text{ g} = 55 \times 1000 = 55000 \text{ mg}\)
2. Subtract the amount taken:
- Amount left in milligrams: \(55000 \text{ mg} - 200 \text{ mg} = 54800 \text{ mg}\)
3. Convert the remainder back to grams:
- \(54800 \text{ mg} = \frac{54800}{1000} = 54.8 \text{ g}\)
Thus, the quantity of painkiller left is \(54.8 \text{ g}\).
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Simplify this solution Mind Expander
To find out how much painkiller Cody has left, start by converting the amount he took from milligrams to grams. Since 1 gram equals 1,000 milligrams, 200 milligrams is equal to 0.2 grams. Now, subtract the amount he took from the initial quantity: 55 grams - 0.2 grams = 54.8 grams. So, the quantity of the painkiller left is 54.8 grams. If you find yourself in a similar situation, always remember to keep track of unit conversions. A common mistake is forgetting that there are 1,000 milligrams in a gram; it can lead to significant errors in calculations. Always double-check your units before performing operations!
