Problem

Gourmet Foods. A New York delicatessen sells mari…

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Problem 50 Hard Difficulty

Mixing Nuts. A merchant wants to mix peanuts with cashews, as shown in the illustration, to get 48 pounds of mixed nuts that will be sold at $\$ 6$ per pound. How many pounds of each should the merchant use?

Answer

$$16$$

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Chapter 4

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Section 4

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Discussion

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Crystal B.

June 2, 2021

A merchant wants to mix peanuts with cashews, as shown in the illustration, to get 48 pounds of mixed nuts that will be sold at $6 per pound. How many pounds of each should the merchant use?

Crystal B.

June 2, 2021

Crystal B.

June 2, 2021

A coffee supply store waits until the orders for its special coffee blend reach 100 pounds before making up a batch. Coffee selling for $8.25 a pound is blended with coffee selling for $2.25 a pound to make a product that sells for $5.85 a pound. How much

Crystal B.

June 2, 2021

Crystal B.

June 2, 2021

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Video Transcript

All right. So problem 50. We mix in two different types of nuts, and they have a little picture that helps you peanuts or $3 per pound. And cashiers or $12 per pound. So, peanuts equal $3 cash. Jozy $12. I should put that label on their $3 per pound cashiers or $12 per pound. What they're going for? £3 sold at $6 per pound. So go goal equals $48. Really? That £48.6 dollars per pounds of £48 at $6 per pound. The one thing I'm gonna do right off the bat is just multiply 48 time six. Um, because let's get tell me the total price of the mixture. So what is that? Is that 200 88? Okay, so I know that the peanuts plus the cashews there's gonna be £48. And of the peanuts over three in the cashier's, they're worth 12 and that the mixture altogether is worth to 88. I'm gonna multiply everything. Times three. Drop it down here. Three p plus three C vehicles 1 44 That's 48 times three, then you can eliminate three p minus three p eliminates. Well, see my industry. See is nine. C to 88 minus 1 44 There's 1 44 dividing my nine. I can see that see is equal to 16. And that tells me then that p that's 30 32 because they add up to 48.

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