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Question 155896: Four firefighters were discussing the number of fires they extinguished for the month of February. Rafael extinguished 25% fewer fires than Louis in February. William extinguished 50% more fires than Rafael. Albert extinguished 20% fewer fires than Rafael and William combined. If Louis extinguished 6 fires per week, how many fires did all four men extinguish during the entire month?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Rafael extinguished 25% fewer fires than Louis in February. William extinguished 50% more fires than Rafael. Albert extinguished 20% fewer fires than Rafael and William combined. If Louis extinguished 6 fires per week, how many fires did all four men extinguish
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Write an equation for each statement:
"Rafael extinguished 25% fewer fires than Louis in February."
R = .75L
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" William extinguished 50% more fires than Rafael."
W = 1.5R
:
"Albert extinguished 20% fewer fires than Rafael and William combined."
A = .80(R+W)
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" If Louis extinguished 6 fires per week,"
L = 4*6 = 24 fires in one month
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how many fires did all four men extinguish during the entire month?
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Using the 1st equation, find R
R = .75(24)
R = 18 fires
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Using the 2nd equation:
W = 1.5(18)
W = 27 fires
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Using the 3rd equation;
A = .8(18+27)
A = .8(45)
A = 36 fires
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Summing up L + R + W + A
24 + 18 + 27 + 36 = 105 fires
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