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Novay_Z [31]
1 year ago
6

A​ person's website specializes in the sale of rare or unusual vegetable seeds. He sells packets of​ sweet-pepper seeds for ​$2.

16 each and packets of​ hot-pepper seeds for ​$4.24 each. He also offers a 16​-packet mixed pepper assortment combining packets of both types of seeds at ​$3.33 per packet. How many packets of each type of seed are in the​ assortment?
Business
1 answer:
ANTONII [103]1 year ago
7 0

Answer:

7 packets of  sweet-pepper seeds and 9 packet of hot-pepper seeds.

Explanation:

Let x packets of​ sweet-pepper seeds for ​$2.16 each and y packets of​ hot-pepper seeds for ​$4.24 each are mixed to obtain 16​-packet mixed pepper assortment for ​$3.33 per packet,

i.e. x + y = 16       ..........(1)

Also,

The price of sweet-pepper seeds + price of hot pepper seeds = price of the mixture

⇒ 2.16x + 4.24y = 3.33(x+y)

⇒ 2.16x + 4.24y = 3.33x+3.33y

⇒ 2.16x + 4.24y - 3.33x-3.33y = 0

⇒ −1.17x +0.91y = 0  ........(2)

Equation (2) + 1.17 × equation (1)

0.91y + 1.17y = 18.72

2.08y = 18.72

⇒ y = 9

From equation (1),

x + 9 = 16 ⇒ x = 16 - 9 ⇒ x = 7

Hence, there are 7 packets of  sweet-pepper seeds and 9 packet of hot-pepper seeds.

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3 0
1 year ago
Read 2 more answers
Carey, a single taxpayer, purchased a rental house in 2018, which he actively manages. During 2018, Carey had a loss of $14,000
noname [10]

Answer:

$6,000

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Based on this explanation, Carey's Adjusted Gross Income= $138,000, higher than $100,000 but less than $150,000

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7 0
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Ron was vacationing in​ France, when his camera was stolen. As he walked into a camera​ store, Ron noticed that camera prices we
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Answer:

130.43 euros

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Now we have to convert $150 in euros

As we know that

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Hence, the ron be paying in euros is 130.43

The same would be relevant

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