Question

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 ​$4.56 each. He also offers a 16​-packet mixed pepper assortment combining packets of both types of seeds at ​$3.16 per packet. How many packets of each type of seed are in the​ assortment?

There are _____packets of​ sweet-pepper seeds and _____- packets of​ hot-pepper seeds.

Answer 1

There are 10 packets of​ sweet-pepper seeds and 6 packets of​ hot-pepper seeds.

Explanation:

Let h represent the number of packets of hot pepper seeds. Then 16-h is the number of packets of sweet pepper seeds. The total cost of a 16-packet mix is ...

4.56h + 2.32(16 -h) = 3.16·16

2.24h + 37.12 = 50.56 . . . . . . . simplify

2.24h = 13.44 . . . . . . . . . . . . . . subtract 37.12

13.44/2.24 = h = 6 . . . . . . . . . . divide by 2.24

16 -h = 16 -6 = 10 . . . . . . . . . . . number of sweet pepper seed packets

There are 10 packets of​ sweet-pepper seeds and 6 packets of​ hot-pepper seeds.