Question

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 p, and the number of quarts he canned is represented by q. which equation models the scenario if chin canned a total of 1,280 ounces?
○ 1,280 + 16p = 32q
○ 1,280 + 32q = 16p
○ 32q - 16p = 1,280
○ 16p + 32q = 1,280

Explanation:

Step1: Calculate ounces from pints

Each pint is 16 ounces, and there are \( p \) pints. So total ounces from pints is \( 16p \).

Step2: Calculate ounces from quarts

Each quart is 32 ounces, and there are \( q \) quarts. So total ounces from quarts is \( 32q \).

Step3: Sum to total ounces

Total ounces is 1,280, so sum of ounces from pints and quarts equals 1,280: \( 16p + 32q = 1280 \).

Answer:

\( 16p + 32q = 1280 \) (the fourth option: 16p + 32q = 1,280)