They worked a total of 285 hours at the shelter last summer. alexis worked 15 hours less then becca. cindy worked 4 more then twice as many hours as becca at the shelter. alexis worked 15 hours less then becca cindy worked 4 more than twice as many as becca

The time spend by Alexis is 59 hours  

The time spend by Becca is 74 hours    

The time spend by Cindy is 152 hours

Step-by-step explanation:

Given as :

The total time spend on working together = 285 hours

Alexis worked 15 hours less then Becca.

Cindy worked 4 more then twice as many hours as Becca at the shelter.

Now , Let The time spend by Alexis = A hours

The time spend by Becca = B hours

The time spend by Cindy = C hours

So, According to question

The total time spend on working together = A + B + C

I.e A + B + C = 285          .........1

A = B - 15              ............2

C = 4 + 2 B           ............3

Now, Solving the equations

Put the values of A ana C from eq 2 and 3 into eq 1

So, (B - 15) + B + (4 + 2 B) = 285  

Or, (B + B + 2 B) + (4 - 15) = 285

or, 4 B - 11 = 285

or, 4 B = 285 + 11

or, 4 B = 296

∴  B =

I.e B = 74

So, The time spend by Becca = B = 74 hours

Put the value of B in eq 2

I.e  A = B - 15      

∴, A = 74 - 15

I.e A = 59

So,The time spend by Alexis = A  = 59 hours

Similarly

Put the value of B in eq 3

I.e  C = 4 + 2 B

∴   C = 4 + 2 × 74

i.e C = 152

So, The time spend by Cindy = C = 152 hours

Hence The time spend by Alexis is 59 hours  

The time spend by Becca is 74 hours    

The time spend by Cindy is 152 hours    Answer

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step-by-step explanation: