458
spam rule (ani.social)
you are viewing a single comment's thread
view the rest of the comments
[-] LeroyJenkins@lemmy.world 10 points 3 months ago

Let's denote the prices of the components as follows:

Egg: ( E )

Bacon: ( B )

Sausage: ( S )

Spam: ( P )

We are given the following equations based on the prices of the combinations:

( E + B = 1.10 )

( E + S + B = 1.49 )

( E + P = 1.50 )

( E + P + B = 2.10 )

( E + P + S + B = 2.49 )

First, subtract Equation 1 from Equation 2:

[ (E + S + B) - (E + B) = 1.49 - 1.10 ]

[ S = 0.39 ]

Next, subtract Equation 1 from Equation 4:

[ (E + P + B) - (E + B) = 2.10 - 1.10 ]

[ P = 1.00 ]

Next, subtract Equation 3 from Equation 5:

[ (E + P + S + B) - (E + P) = 2.49 - 1.50 ]

[ S + B = 0.99 ]

We already know from a previous calculation that ( S = 0.39 ), so substitute ( S ) in:

[ 0.39 + B = 0.99 ]

[ B = 0.60 ]

Now we know ( B ) and can find ( E ) from Equation 1:

[ E + 0.60 = 1.10 ]

[ E = 0.50 ]

We have found the prices:

Egg (( E )) = 0.50

Bacon (( B )) = 0.60

Sausage (( S )) = 0.39

Spam (( P )) = 1.00

this post was submitted on 16 Jun 2024
458 points (100.0% liked)

196

16247 readers
3042 users here now

Be sure to follow the rule before you head out.

Rule: You must post before you leave.

^other^ ^rules^

founded 1 year ago
MODERATORS