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 can be made?

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Respuesta :

1888 bags can be made

Step-by-step explanation:

The given is:

1. A container of oregano is 17 pounds heavier than a container of

   peppercorns

2. Their total weight is 253 pounds

3. The peppercorns will be sold in one ounce bags

We need to find how many bags can be made

Assume that the weight of the peppercorn container is x pounds

∵ The weight of the peppercorn container is x pounds

∵ The oregano container is 17 pounds heavier than a container of

   peppercorns

∴ The weight of the oregano container is x + 17 pounds

∵ Their total weight is 253 pounds

∴ x + x + 17 = 253

∴ 2x + 17 = 253

- Subtract 17 from both sides

∴ 2x = 236

- Divide both sides by 2

∴ x = 118

∴ The wight of the peppercorns is 118 pounds

∵ The peppercorns will be sold in one ounce bags

∵ 1 pound = 16 ounces

∴ The weight of the peppercorns = 118 × 16 = 1888 ounces

∵ The weight of each bag is 1 ounce

∴ The number of bags = 1888 ÷ 1 = 1888 bags

1888 bags can be made

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