Together Marc and Paoli have $32. Marc has $4 less than twice the amount Paoli has. How much does each man have?
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You have two equations:
Marc + $4 = 2(Paoli) or put differently Marc = 2(Paoli) - $4
and
Marc + Paoli = $32
substitute Marc for 2(Paoli) - $4 in the second equation you get
2(Paoli) - $4 + Paoli = $32
then solve for Paoli
3(Paoli) = $36
Paoli = $12
Then use the second equation and put $12 in for Paoli and solve for Marc
Marc + $12 = $32
so Marc = $20
Marc + $4 = 2(Paoli) or put differently Marc = 2(Paoli) - $4
and
Marc + Paoli = $32
substitute Marc for 2(Paoli) - $4 in the second equation you get
2(Paoli) - $4 + Paoli = $32
then solve for Paoli
3(Paoli) = $36
Paoli = $12
Then use the second equation and put $12 in for Paoli and solve for Marc
Marc + $12 = $32
so Marc = $20
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Marc has m
Paoli has p
m + p = 32
m = 2p - 4
Two equations and two unknowns. You can substitute the value of m, given by the second equation, in the first equation and solve for p:
2p - 4 + p = 32
Therefore p = 12
and m = 20
Check to see if these values satisfy the statements given.
Paoli has p
m + p = 32
m = 2p - 4
Two equations and two unknowns. You can substitute the value of m, given by the second equation, in the first equation and solve for p:
2p - 4 + p = 32
Therefore p = 12
and m = 20
Check to see if these values satisfy the statements given.
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Write an equation from each of your first two sentences.
M + P = $32
M = 2P - $4
From the first one, M = $32 - P
Sub that into the second one in place of the M.
$32 - P = 2P - $4
2P + P = $32 + $4
3P = $36
P = $36/3 = $12. Paoli has $12, so Marc has M = $32 - P = $32 - $12 = $20
M + P = $32
M = 2P - $4
From the first one, M = $32 - P
Sub that into the second one in place of the M.
$32 - P = 2P - $4
2P + P = $32 + $4
3P = $36
P = $36/3 = $12. Paoli has $12, so Marc has M = $32 - P = $32 - $12 = $20
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cheating won't help you on exam day beautiful
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Marc has $12.
And Paoli has $20.
And Paoli has $20.