Answered

Get the information you need with the help of IDNLearn.com's expert community. Get the information you need from our community of experts who provide accurate and thorough answers to all your questions.

Ann Marie wishes to mix peanuts worth $1.38 a pound with cashews worth $2.10 a pound to get 8 pounds of mixture worth $1.65 a pound. How many pounds of peanuts does she need?

Sagot :

Answer: 5

Explanation:

Let the pound of peanut be represented by x.

Let the pound of cashew be represented by y.

Therefore, x + y = 8

1.38x + 2.1y = 1.65

Since x+y = 8

y = 8-x

Then, 1.38x + 2.1y = 1.65 = 1.38x + 2.1(8 - x) = 1.65 × 8

= 1.38x + 16.8 - 2.1x = 13.2

Collect like terms

1.38x - 2.1x = 13.2 - 16.8

-0.72x = -3.6

x = 3.6/0.72

x = 5

Therefore, Ann needs 5 pounds of peanuts

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com. We’re committed to providing accurate answers, so visit us again soon.