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?

Question

Mathematics

Gael Keller

4 May, 05:49

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?

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Answers (1)

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Kendal · Answer 1

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