A container of oregano is 17 pounds heavier than a container of peppercorns. Their total weight is 253 pounds. The peppercorns will be sold in one-ounce bags. How many bags of peppercorns can be made?

Respuesta :

Answer:

1,888 bags.

Step-by-step explanation:

Let x represent the the weight of container of peppercorns.

We have been given that the container of oregano is 17 pounds heavier than a container of peppercorns. So the weight of container of oregano would be [tex]x+17[/tex].

We are also told that the total weight of both containers is 253 pounds. We can represent this information in an equation as:

[tex]x+x+17=253[/tex]

Let us solve for x.

[tex]2x+17=253[/tex]

[tex]2x+17-17=253-17[/tex]

[tex]2x=236[/tex]

[tex]\frac{2x}{2}=\frac{236}{2}[/tex]

[tex]x=118[/tex]

Therefore, the weight of peppercorns is 118 pounds.

Now, we will convert 118 pounds to ounces.

1 pound equals 16 ounces.

118 pounds = 118*16 ounces = 1,888 ounces

Since the peppercorns will be sold in one-ounce bags, therefore, 1,888 bags of peppercorns can be made.

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