Question

John and paul spent $45 altogether. john and henty spent $65 altogether. if henry spent 3 times as much as paul, how much did john spend?

Answer 1

Lets x is the amount of money Paul spent
y is the amount of money John spent
Henry spent 3 times as much as paul = 3x

so

John and paul spent $45 altogether: x + y = 45
john and henty spent $65 altogether: 3x+y = 65

solve the equations

3x+y = 65
x + y = 45
---------------subtract
2x = 20
x = 10

x + y = 45
y = 45 - x
y = 45 - 10
y = 35

3x = 3(10) = 30

so
Paul spent $10 (x)
John spent $ 35 (y)
Henry spent $30 (3x)

answer: John spent $ 35

double check:


$ 35 + $ 10 = $45 (John and Paul spent $45 altogether)
$ 35 + $30 = $65 ( John and Henry spent $65 altogether)