MarioAndWeegee3 to 196@lemmy.blahaj.zone · 5 months agospam ruleimagemessage-square29fedilinkarrow-up1458arrow-down10
arrow-up1458arrow-down1imagespam ruleMarioAndWeegee3 to 196@lemmy.blahaj.zone · 5 months agomessage-square29fedilink
minus-squareLeroyJenkins@lemmy.worldlinkfedilinkarrow-up10·5 months agoLet’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
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