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?

Answer 1

The  equation: 32 Q + 16 P = 1,280  models the described canning scenario.

Number of canned quart jars = Q

Number of canned pint jars = P

We know that:

1 pint = 16 ounces

1 quart = 32 ounces

and  the total canned ounces is 1,280.

then:

(Number of canned jars) (volume of canned jars (ounces))= 1,280 ounces

(Q x 32) + (P x 16) = 1,280

32 Q + 16 P = 1,280