Respuesta :
58 containers
Further explanation
Given:
- A candy company packages caramel into containers that hold 32 fluid ounces.
- In the last batch, 1,848 fluid ounces of caramel were made.
Question:
How many containers were needed for this batch?
The Process:
Let us reorder information that is known and asked:
- [tex]\boxed{ \ 1 \ container = 32 \ fl. \ oz. \ }[/tex]
- [tex]\boxed{ \ ? \ container = 1,848 \ fl. \ oz. \ }[/tex]
To get how many containers were needed for this batch, we have to do the division process. The total fluid ounce of caramel was made divided by the amount of fluid ounce in each container.
Let us count the number of containers needed for this batch.
[tex]\boxed{ \ 1,848 \ fl. \ oz. \times \frac{1 \ container}{32 \ fl. \ oz.} \ ? \ }}[/tex]
[tex]\boxed{ \ = \frac{1,848}{32} \ }[/tex]
Simplify it. The numerator and denominator are equally divided by 8.
[tex]\boxed{ \ = \frac{231}{4} \ }[/tex]
We can use the following strategy:
[tex]\boxed{ \ = \frac{228}{4} + \frac{3}{4} \ }[/tex]
[tex]\boxed{ \ = 57 + \frac{3}{4} \ }[/tex]
[tex]\boxed{\boxed{ \ = 57\frac{3}{4} \ }}[/tex]
In a decimal,
[tex]\boxed{ \ = 57 + \frac{3 \times 25}{4 \times 25} \ }[/tex]
[tex]\boxed{ \ = 57 + \frac{75}{100} \ }[/tex]
[tex]\boxed{\boxed{ \ 57.75 \ }}[/tex]
Conclusion
- The result is [tex]\boxed{57 \frac{3}{4} \ or \ 57.75}[/tex] containers, not integers.
- This means we need 57 containers and one more container that contains [tex]\frac{3}{4}[/tex] parts.
- Thus, the number of containers needed for this batch is 58 containers, after rounding up.
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Keywords: a candy company, packages, caramel, into containers, hold 32 fluid ounces, fl. oz., the last batch, 1,848, made, how many, containers were needed, 58