Kirsty needs to hire a plumber to fix her house. The plumber charges 242 (base 5) dollars for every hour of labor and 367 (base 8) dollars for equipment. If the plumber works for 3.5 (base 10) hours, how many dollars (in base ten) will Kirsty owe the plumber?
+537 First convert everything to base 10. \(242_5\) in base 10 is \(2*1+4*5+2*25, =72\) . \(367_8\) in base 10 is \(7*1+6*8+3*64=247\).
If the plumber works for 3.5 hours, multiply 3.5 by 72 to get 252. 252+ the base cost of 247=
499 dollars.
