A​ person's website specializes in the sale of rare or unusual vegetable seeds.

Question

A​ person's website specializes in the sale of rare or unusual vegetable seeds. He sells packets of​ sweet-pepper seeds for $2.48 each and packets of​ hot-pepper seeds for ​$4.88 each. He also offers a 16​-packet mixed pepper assortment combining packets of both types of seeds at ​$2.78 per packet. How many packets of each type of seed are in the​ assortment?

Answer 1

2.48S + 4.88H = 2.78(16) ==44.48

S=16-H

2.48(16-H) + 4.88H = 44.48

39.68 -2.48H + 4.88H = 44.48

2.4H = 44.48-39.68= 4.8

H = 4.8/2.4 = 2 packets of hot peppers

S=16-2 = 14 packets of sweet peppers

2.78 is within 0.3 of 2.48

2.78 is within 2.1 of 4.88

2.1 is 7 times 0.3 as 14 is 7 times 2