Answer:
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
Step-by-step 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 = [tex]\frac{1}{3}[/tex](4.85 - 4b) ->3
Substitute in equation 2.
5([tex]\frac{1}{3}[/tex])(4.85 - 4b) + 3b = 4.60
[tex]\frac{24.25}{3}[/tex] - [tex]\frac{20}{3}[/tex]b + 3b = 4.60
Multiply by 3
24.25 - 20b + 9b = 13.8
b = 0.95
Substitute in 3:
[tex]\frac{1}{3}[/tex](4.85-4(0.95))
e = 0.35
Hence an egg is $0.35 and a bacon strip is $0.95
