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: \( 16p \).

Step2: Calculate ounces from quarts

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

Step3: Sum to total ounces

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

Answer:

D. \( 16p + 32q = 1280 \) (assuming the last option is D, as per the options shown with the last one being \( 16p + 32q = 1280 \))