5. A pharmacist counts 24 tablets and puts them into a bottle. Each tablet weighs [tex]$\frac{1}{4}[tex]$[/tex] of a gram, and the weight of the bottle is [tex]$[/tex]112 \frac{1}{2}$[/tex] grams. What is the total weight?



Answer :

To find the total weight, we need to consider both the weight of the tablets and the weight of the bottle. Here is the step-by-step solution:

1. Determine the weight of one tablet:
Each tablet weighs \(\frac{1}{4}\) gram.

2. Calculate the total weight of the tablets:
There are 24 tablets. Multiply the number of tablets by the weight of one tablet:
[tex]\[ 24 \text{ tablets} \times \frac{1}{4} \text{ gram per tablet} = 24 \times 0.25 = 6 \text{ grams} \][/tex]
Thus, the total weight of the tablets is 6 grams.

3. Determine the weight of the bottle:
The bottle itself weighs \(112 \frac{1}{2}\) grams. Convert this mixed fraction to an improper fraction or a decimal:
[tex]\[ 112 \frac{1}{2} = 112 + 0.5 = 112.5 \text{ grams} \][/tex]
Hence, the weight of the bottle is 112.5 grams.

4. Calculate the total weight of the bottle and the tablets combined:
Add the total weight of the tablets to the weight of the bottle:
[tex]\[ 6 \text{ grams (tablets)} + 112.5 \text{ grams (bottle)} = 6 + 112.5 = 118.5 \text{ grams} \][/tex]
Therefore, the total weight is 118.5 grams.