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

16p + 32q = 1280 or p + 2q = 80

Explanation:

Here p represents the number of pints and q represents the number of quarts Chin canned,

Also, A pint is 16 ounces and a quart is 32 ounces.

So, the total weight of the p pints and q quarts = ( 16p + 32q ) ounces

According to the question,

The total weight = 1,280 ounces

⇒ 16p + 32q = 1280

Which is the required equation that can be model the given scenario.

Note : 16p + 32q = 1280 also can be written,

p + 2q = 80

Answer 2

As we are given with

The number of pints he canned is represented by p.

The number of quarts he canned is represented by q.

A pint is 16 ounces and a quart is 32 ounces.

If Chin canned a total of 1,280 ounces then we can write

`image`

Hence the required scenario can be represented using the equation

`16q+32p=1280`