How do you solve \frac { t } { 10} + \frac { t } { 15} = 1t10+t15=1?

2 Answers
Jim G.
May 4, 2018

t=6t=6

Explanation:

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

"the lowest common multiple is "30the 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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