To determine the total number of crackers in the box, we start with the information that the sesame crackers represent 20% of the total. If there are 12 sesame crackers, we can set up the equation:
\[ \text{Total crackers} = \frac{12 \text{ sesame crackers}}{0.20} \]
Calculating this gives:
\[ \text{Total crackers} = \frac{12}{0.20} = 60 \]
Now we can find the number of wheat crackers. The total number of crackers is 60, and we know there are 12 sesame crackers and 18 butter crackers:
\[ \text{Wheat crackers} = \text{Total crackers} - (\text{Sesame crackers} + \text{Butter crackers}) \] \[ \text{Wheat crackers} = 60 - (12 + 18) = 60 - 30 = 30 \]
Now let's find the percentage of wheat crackers in the box:
\[ \text{Percentage of wheat crackers} = \left(\frac{\text{Wheat crackers}}{\text{Total crackers}}\right) \times 100 \] \[ \text{Percentage of wheat crackers} = \left(\frac{30}{60}\right) \times 100 = 50% \]
Putting it all together, we conclude that:
- There are a total of 60 crackers in the box.
- The wheat crackers represent 50 percent of the crackers in the box.
So the selections would be:
- There are a total of 60 crackers in the box.
- The wheat crackers represent 50 percent of the crackers in the box.
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