How do you solve #\frac { t } { 10} + \frac { t } { 15} = 1#?

2 Answers
Jim G.
May 4, 2018

#t=6#

Explanation:

#"one way is to eliminate the fractions by multiplying"#
#"the terms by the lowest common multiple of 10 and 15"#

#"the lowest common multiple is "30#

#cancel(30)^3xxt/cancel(10)^1+cancel(30)^2xxt/cancel(15)^1=30#

#rArr3t+2t=30#

#rArr5t=30#

#"divide both sides by 5"#

#(cancel(5) t)/cancel(5)=30/5#

#rArrt=6" is the solution"#

Ahmemaru
May 4, 2018

#t = 6#

Explanation:

Method #1:

#t/10 + t/15 = 1#

multiply everything by 30

#3t+2t=30#

add

#5t = 30#

divide both sides by 5

#t = 6#

Method #2:

#t/10 + t/15 = 1#

common the denominator
so

#(15t+10t)/150 = 1#

multiply both sides by 150

#15t+10t = 150#

add

#25t = 150#

divide both sides by 25

#t = 6#

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