Answered

IDNLearn.com offers a collaborative platform for sharing and gaining knowledge. Whether it's a simple query or a complex problem, our community has the answers you need.

A store owner has 12 pounds of pasta worth 70¢ a pound. She wants to mix it with
pasta worth 45¢ a pound so that the total mixture can be sold for 55¢ a pound
(without any gain or loss). How much of the 45¢ pasta must she use?

Sagot :

Francocanacariidn

Answer:

The store owner must use 18 pounds of the 45 ¢ pasta.

Step-by-step explanation:

Given that a store owner has 12 pounds of pasta worth 70 ¢ a pound, and she wants to mix it with pasta worth 45 ¢ a pound so that the total mixture can be sold for 55 ¢ a pound, to determine how much of the 45 ¢ pasta must she use, the following calculation must be performed:

100 x 0.7 + 0 x 0.45 = 70

90 x 0.7 + 10 x 0.45 = 67.5

50 x 0.7 + 50 x 0.45 = 57.5

40 x 0.7 + 60 x 0.45 = 55

40 = 12

60 = X

60 x 12/40 = X

720/40 = X

18 = X

Thus, the store owner must use 18 pounds of the 45 ¢ pasta.

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.