Alexis, Becca, and Cindy do volunteer work at Adopt-a-Pet Animal Shelter. They worked a total of 285 hours at the shelter last summer. Alexis worked 15 hours less than Becca. Cindy worked 4 more than twice as many hours as Becca.

Write and solve an equation that expresses the relationship between the number of hours each student worked last summer and the total number of hours worked. Define the variable used in your equation.

How many hours did each student work?

I really need the answer to this by Monday so please help if you have the time.

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absor201 absor201 · Answer 1 · 2020-01-17T11:21:19+01:00

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.

Step-by-step explanation:

Given,

Total hours worked by three of them = 285 hours

Let,

x represent the hours of Alexis.

y represent the hours of Becca.

z represent the hours of Cindy.

According to given statement;

x+y+z=285 Eqn 1

Alexis worked 15 hours less than Becca.

x = y-15 Eqn 2

z = 2y+4 Eqn 3

Putting value of x and z from Eqn 2 and 3 in Eqn 1

[tex](y-15)+y+(2y+4)=285\\y-15+y+2y+4=285\\4y-11=285\\4y=285+11\\4y=296[/tex]

Dividing both sides by 4

[tex]\frac{4y}{4}=\frac{296}{4}\\y=74[/tex]

Putting y=74 in Eqn 2

[tex]x=74-15\\x=59[/tex]

Putting y=74 in Eqn 3

[tex]z=2(74)+4\\z=148+4\\z=152[/tex]

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.

Keywords: linear equation, division

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