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Mars2501 [29]
3 years ago
12

Help i need the answer by 10am December 23

Mathematics
1 answer:
Sever21 [200]3 years ago
8 0

Answer:

Simon:         55     hours

Alvin:           70     hours

Theodore:  <u>159</u>   hours

Total:         284  hours

Step-by-step explanation:

Let A, T, and S stand for the hours worked by Alvin, Simon, and Theodore.

We are told that:

A = S + 15,

T = 3S - 6

and

A + S + T = 284

Note that the first two equations state the value of A and T in terms of S.  Let's use them in the third equation, so that we'll have only one unknow:

A + S + T = 284

(S + 15) + S + (3S - 6) = 284

5S + 9 = 284

<em><u>S = 55</u></em>

Now use this value of S in the first two equations to find A and T:

A = S + 15

A = 55 + 15

<u><em>A = 70</em></u>

T = 3S - 6

T = 3*55 - 6

<em><u>T = 159</u></em>

<u></u>

<u>(55 + 70 + 159) = 284</u>

<u></u>

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