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A​ person's website specializes in the sale of rare or unusual vegetable seeds. he sells packets of​ sweet-pepper seeds for ​$2.32 each and packets of​ hot-pepper seeds for ​$4.40 each. he also offers a 16​-packet mixed pepper assortment combining packets of both types of seeds at ​$2.58 per packet. how many packets of each type of seed are in the​ assortment?

User Yos
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1 Answer

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The first thing we must do in this case is to define variables.
We have then:
x = packets of sweet-pepper seeds
16-x = packets of hot-pepper seeds
We now write the equation to solve the problem:
2.32x + 4.40 (16-x) = 2.58 (16)
2.32x + 70.40-4.40x = 41.28
-2.08x = -29.12
x = (- 29.12) / (- 2.08)
x = 14
Answer:
there are in the assortment:
14 packets of sweet-pepper seeds
16-14 = 2 packets of hot-pepper seeds