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Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and a quart is 32 ounces. The number of pints he canned is represented by [tex]p[/tex], and the number of quarts he canned is represented by [tex]q[/tex]. Which equation models the scenario if Chin canned a total of 1,280 ounces?

A. [tex]1,280 + 16p = 32q[/tex]

B. [tex]1,280 + 32a = 160[/tex]

C. [tex]32q - 16p = 1,280[/tex]

D. [tex]16p + 32q = 1,280[/tex]



Answer :

GinnyAnswer
To model the scenario accurately, consider the information given:
- A pint (represented by [tex]\( p \)[/tex]) is 16 ounces.
- A quart (represented by [tex]\( q \)[/tex]) is 32 ounces.
- The total amount canned is 1,280 ounces.

We need an equation that represents the total number of ounces canned, which combines the contributions from both pints and quarts.

1. Each pint jar contains 16 ounces, so the total number of ounces from the pints is [tex]\( 16p \)[/tex].
2. Each quart jar contains 32 ounces, so the total number of ounces from the quarts is [tex]\( 32q \)[/tex].
3. The sum of these amounts equals the total canned amount of 1,280 ounces.

Therefore, the equation that models the scenario is:
[tex]\[ 16p + 32q = 1,280 \][/tex]

The correct choice is:
[tex]\[ 16p + 32q = 1,280 \][/tex]

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