Together, Tim and Tom have $2.40. Tim has three times as much as Tom. How much does each have?

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Answer 1 · 2017-01-06T04:08:35

Tim has #$1.80# and Tom has #$0.60#.

Consider the amount that Tim has as #x# and the amount that Tom has as #y#. From the data given:

#x+y=2.4#
#x=3y#

In the first equation, substitute #x# with #color(red)(3y)# (the value of #x# in the second equation).

#x+y=2.4#

#color(red)(3y)+y=2.4#

#4y=2.4#

Divide both sides by #4#.

#y=0.6#

In the first equation, substitute #y# with #color(blue)(0.6)#.

#x+y=2.4#

#x+color(blue)(0.6)=2.4#

Subtract #0.6# from each side.

#x=1.8#