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.
Accepted Solution
A:
Answer: There are 10 packets of sweet-pepper seeds and 6 packets of hot-pepper seeds.Step-by-step 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 packetsThere are 10 packets of sweet-pepper seeds and 6 packets of hot-pepper seeds.