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Brrunno [24]
2 years ago
12

Nancy’s nut store sells peanuts for $2 per pound and cashews for $10 per pound. The store sells a peanut - cashew mixture for $7

per pound. How many pounds of peanuts and how many pounds of cashews should be used to create 40 pounds of the mixture? I’m
Mathematics
1 answer:
Gelneren [198K]2 years ago
5 0

9514 1404 393

Answer:

  • 25 pounds cashews
  • 15 pounds peanuts

Step-by-step explanation:

Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...

  10c +2(40 -c) = 7(40)

  8c +80 = 280 . . . . simplify

  c +10 = 35 . . . . . . . divide by 8

  c = 25 . . . . . . . . . . subtract 10

  40-c = 40-25 = 15 . . . . pounds of peanuts

25 pounds of cashews and 15 pounds of peanuts should be used in the mix.

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the total attendance at a concert in a theater hall was 1500, of this total 400 were children,850 were women , and the remaining
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<u>Answer:</u>

Below!

<u>Step-by step explanation:</u>

<u>We know that:</u>

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<u>Solution of Question A:</u>

<u>Percent of children: Total children/Total attendance</u>

  • => 400/1500
  • => 4/15
  • => 0.27 (Rounded to nearest hundredth)
  • => 0.27 x 100
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<u>Hence, the percent of children is about 27%.</u>

<u>Solution of Question B:</u>

<u>Percent of women: Total women/Total attendance</u>

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<u>Hence, the percent of women is 56.67%.</u>

<u>Solution of Question C:</u>

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<u>Percent of men: Total men/Total attendance</u>

  • => 250/1500
  • => 1/6
  • => 0.17 (Rounded to nearest hundredth)
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<u>Hence, the percent of men is about 17%</u>

Hoped this helped.

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