On Tuesday, I worked $t 1$ hours and earned $3t-3$ dollars per hour. My friend Andrew worked $3t-5$ hours but only earned $t 2$ dollars an hour. At the end of the day, I had earned two dollars more than he had. What is the value of $t$

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Adetunmbiadekunle Adetunmbiadekunle · Answer 1 · 2021-12-14T11:23:33+01:00

If I earned $2 more than Andrew at the end of the day, then the value of t is [tex]1\frac{2}{3}[/tex]

Number of hours that I used to work = 1 hour

My hourly pay = $3t - 3

My total pay at the end of the day = Number of hours x hourly pay

My total pay at the end of the day = 1 (3t - 3)

My total pay at the end of the day = $ 3t - 3

Number of hours that Andrew used to work = 3t -5 hour

Andrew's hourly pay = $2

Andrew's total pay at the end of the day = Number of hours x hourly pay

Andrew's total pay at the end of the day = 2 (3t - 5)

Andrew's total pay at the end of the day = $ 6t - 10

At the end of the day, I earned $2 more than Andrew

My total pay = Andrew's total pay + 2

3t - 3 = 6t - 10 + 2

6t - 3t = -3 +10 - 2

3t = 5

t = 5/3

[tex]t = 1\frac{2}{3}[/tex]

If I earned $2 more than Andrew at the end of the day, then the value of t is [tex]1\frac{2}{3}[/tex]

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