To determine the right equation modeling the scenario where Chin canned a total of 1,280 ounces of tomatoes, we need to consider the given conditions and quantities.
Here's the step-by-step reasoning:
1. Understanding the Conversion Factors:
- A pint (represented by [tex]\( p \)[/tex]) holds 16 ounces.
- A quart (represented by [tex]\( q \)[/tex]) holds 32 ounces.
2. Establishing the Total Ounces:
- If Chin has [tex]\( p \)[/tex] pints, the total ounces from the pints would be [tex]\( 16p \)[/tex] ounces.
- If Chin has [tex]\( q \)[/tex] quarts, the total ounces from the quarts would be [tex]\( 32q \)[/tex] ounces.
3. Combining the Total Ounces:
- To find the total number of ounces from both pints and quarts, we sum the contributions from both:
[tex]\[
\text{Total ounces} = 16p + 32q
\][/tex]
4. Given Total Ounces:
- Chin canned a total of 1,280 ounces.
5. Formulating the Equation:
- To represent the total ounces canned by Chin, we set up the equation:
[tex]\[
16p + 32q = 1,280
\][/tex]
Thus, the equation that models the scenario where Chin canned a total of 1,280 ounces is:
[tex]\[
16p + 32q = 1,280
\][/tex]
Therefore, the correct answer is:
[tex]\[
16 p + 32 q = 1,280
\][/tex]
