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wariber [46]
4 years ago
5

A charity organization is having a fundraiser.

Mathematics
1 answer:
nignag [31]4 years ago
6 0

Answer:

Hence, the price of single ticket is $70.

Step-by-step explanation:

Consider the provided equation.

P(n) = 70n - 1500

As we know that: Profit = Income – Cost

Here, P(n) represents the fundraiser's profit (in dollars) and n represents the number of tickets sold and cost is 1500

Since, n is multiplied by 70 that represents the price of per ticket is $70.

Hence, the price of single ticket is $70.

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How much cashews at $1.58 per pound must be mixed with walnuts that cost 78 cents per pound to make a mixture of 40 pounds of nu
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Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.

Step-by-step explanation:

  • Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50
  • Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.

⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50

⇒ 1.58 C + 31.2 - 0.78 C = 60

⇒ 1.58 C - 0.78 C = 60 - 31.2

⇒ 0.8 C = 28.8

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  • Step 3: Calculate number of pounds of walnuts

⇒ Number of pounds of walnuts = 40 - C = 4 pounds

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