Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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 :

francocanacari

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 your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.