SOLUTION: 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
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-> SOLUTION: 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
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Question 152102: 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?
You can put this solution on YOUR website! 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?
:
Write an equation for each statmente (using decimals for %); simplify equations:
:
" Rafael extinguished 25% fewer fires than Louis in February."
R = L - .25L
R = .75L
:
" William extinguished 50% more fires than Rafael."
W = R + .5R
W = 1.5R
:
"Albert extinguished 20% fewer fires than Rafael and William combined."
A = (R+W) - .2(R+W)
A = .8(R+W)
:
"If Louis extinguished 6 fires per week,"
L = 4 * 6
L = 24 fires per month
:
how many fires did all four men extinguish during the entire month?
Substitute 24 for L
R = .75L
R = .75(24)
R = 18 fires for Raphael
and
W = 1.5R
Substitute 18 for R
W = 1.5 * 18
W = 27 fires for William
and
A = .8(R+W)
A = .8(18 + 27)
A = .8(45)
A = 36 fires for Albert
:
Four men total: 24 + 18 + 27 + 36 = 105 fires
