Working his way through school, Joe works two part-time jobs for a total of 36 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did he work at each job the week that he made $230.40. (round to two decimal places if necessary).

Question

Working his way through school, Joe works two part-time jobs for a total of 36 hours a week.  Job A pays $5.70 per hour, and Job B pays $7.10 per hour.  How many hours did he work at each job the week that he made $230.40.  (round to two decimal places if necessary).

anonymous · Answer

$$5.7x+7.1(36-x)=230.4$$
guy needs a new job

anonymous · Answer

solve to get 18 for x, so he worked 18  hours in each place

anonymous · Answer

i do need a new job =/

anonymous · Answer

hope the solution is clear.  easiest to clear the decimals and write 
$$57x+71(36-x)=2304$$
$$57x+255-71x=2304$$
$$-14x=-252$$
$$x=\frac{252}{14}=18$$

anonymous · Answer

so its 18 hours for Job A and Job B right?

anonymous · Answer

yeah thats what it looks like :) since the total is 36 hours.