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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