Question

I need help with college math

Answer 1

e = eggs, b = bacon strips

Equation 1: 3e+4b = 4.85

Equation 2: 5e+3b = 4.60

Cost per egg: $0.35

Cost per bacon strip: $0.95

Explanation:

This can be solved using simultaneous equations:

3e+4b = 4.85 -> 1

5e+3b = 4.60 - 2

From equation 1, make e the subject of the formula

3e = 4.85 - 4b

e =
`(1)/(3)`(4.85 - 4b) ->3

Substitute in equation 2.

5(
`(1)/(3)`)(4.85 - 4b) + 3b = 4.60

`(24.25)/(3)` -
`(20)/(3)`b + 3b = 4.60

Multiply by 3

24.25 - 20b + 9b = 13.8

b = 0.95

Substitute in 3:

`(1)/(3)`(4.85-4(0.95))

e = 0.35

Hence an egg is $0.35 and a bacon strip is $0.95