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453

spam rule (ani.social)

submitted 11 months ago by [email protected] to c/[email protected]

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[–] [email protected] 10 points 11 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