SOLUTION: a person on tour has 360 us for his daily expenses. if he extends his tour for 4 days , he has to cut down his daily expense by 3 us. find the original duration of the tour.

Question 550388: a person on tour has 360 us for his daily expenses. if he extends his tour for 4 days , he has to cut down his daily expense by 3 us. find the original duration of the tour.
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
ex: 3 dollars per day for 5 days is 15 dollars equation looks like: 3d=15 3(5)=15 15 being total amount of money
d=daily expense t=amount of days spent

the more word problems you do the easier it is to recognize thes equations straight from the problem
we want to find duration of tour (t) so solve first equation for (d) daily expenses to be able to substitute

use foil method before substitution
foil
add 12 to both sides
substitue for (d)
multiply
subtract 360 from both sides
multiply everything by t
subtract 12t
take out the 4
find two numbers that multiply to get -270 and add to get -3
.
270=2*5*3*3*3 find all prime numbers to easily find the two numbers your looking for
3*5=15
3*3*2=18
15-18=-3
15*-18=-270
.

t cant be negative so
to find d:

check

correct
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