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John and Paul spent $45 altogether. John and Henry Spent $65 altogether. If Henry spent 3 times as much as Paul, how much did John Spend.

Please show variables and work :) Thanks!

2007-04-17 17:43:11 · 4 answers · asked by Rachel T. 2 in Science & Mathematics Mathematics

oh my Gosh. Who's right?

2007-04-17 18:00:38 · update #1

4 answers

J+P=45--a)
J+H=65--b)
H=3xP--c)
therefore:
b)==J+3P=65.
using it and a)===
2P=20
therefore P=10
J=35
therefore john spent $35

2007-04-17 17:49:37 · answer #1 · answered by amitbhandari 2 · 1 0

Let Paul spend x. Henry spent 3x. John spent 45 - x

45 - x + 3x = 65 (John + henry)
2x + 45 = 65
2x = 20
x = 10

John = 45 - x
John = 45 - 10
John = $35

John spends $ 35.

I assure you. I am right

2007-04-18 08:15:21 · answer #2 · answered by Akilesh - Internet Undertaker 7 · 0 0

J+P=45
J+H=65
H-3P=0

so H=3P so sub it into the 2nd equation.
so we have J+P=45 (first equation stays the same)
J+3P=65 then you need to cancel one out so make the top one negative -J-P=-45

so you now have 2P=20 P=$10

2007-04-18 00:58:52 · answer #3 · answered by gatorgrad99_99 3 · 0 0

J+P = 45
J+H = 65
H = 3P

Substitute for H in the second equation
J+ 3P = 65
J+ P = 45

Subtract
2P =20
P = 10
J+P = 45
J+10 =45
J = 35

2007-04-18 01:18:06 · answer #4 · answered by lizzie 3 · 0 0

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