Jerry has two part-time jobs, one at a grocery store and one at a sporting goods store. He is paid by the hour at each job. Last week, he worked 10 hours at the grocery store and 12 hours at the sporting goods store and earned a total of $168.00. The week before, he worked 14 hours at the grocery store and 8 hours at the sporting goods store and earned a total of $167.00.
(a) Determine how much Jerry earns per hour at the grocery store. Show all your work
(b) Next week, Jerry wants to earn at least $184.00. He is scheduled to work 8 hours at the grocery store. Write and solve an inequality to find the minimum number of hours he needs to work at the sporting goods store in order to earn at least $184.00. Show all your work.