Question

At Finky Feed Store, Gerby purchased 7 pounds of cracked corn, 3 pounds of

sunflower seed, and 8 pounds of mixed bird seed for $31.00. Michael purchased
5 pounds of cracked corn, 4 pounds of sunflower seed, and 10 pounds of mixed
bird seed for $32.75. Jayleen purchased 4 pounds of sunflower seed and 12
pounds of mixed bird seed for $27.00.
If c represents cracked corn, s represents sunflower seeds, and b represents bird
seed, which of the systems of equations below can be used to determine the
price per pound of cracked corn, sunflower seed, and bird seed?

Answer 1

`7c + 3s + 8b = 31.00`

`5c + 4s + 10b = 32.75`

`4s + 12b = 27.00`

Explanation:

Given

`c = corn`

`s = sunflower`

`b= bird`

For Gerby:

Items: 7lb of c, 3lb of s and 8lb of b

Total: $31.00

This will be represented using sum of products as:

`7c + 3s + 8b = 31.00`

For Michael:

Items: 5lb of c, 4lb of s and 10lb of b

Total: $32.75

This will be represented using sum of products as:

`5c + 4s + 10b = 32.75`

For Jayleen:

Items: 4lb of s and 12lb of b

Total: $27.00

This will be represented using sum of products as:

`4s + 12b = 27.00`

Hence: The systems of equation are:

`7c + 3s + 8b = 31.00`

`5c + 4s + 10b = 32.75`

`4s + 12b = 27.00`