Jimmy helped DeJuan get a job at King Buger after he got off house arrest. Jimmu can make 5 bugers every 4 mins, but DeJuan takes 7 mins to make3 burgers. If they work together , how long will it take them to make 5 burgers.
+23246 If Jimmy can make 5 burgers every 4 minutes, his rate is 5/4 burger/minute.
If DeJuan can make 3 burgers every 7 minues, his rate is 3/7 burger/minute.
Let them work for n minutes.
Rate x Time (for Jimmy) + Rate x Time (for DeJuan) = Total Amount Made
(5/4)n + (3/7)n = 5
Multiply each term by 4 x 7 = 28:
28(5/4)n + 28(3/7)n = 28(5)
35n + 12n = 140
47n = 140
n = 140/47 = 2.98 minutes --- or 3 minutes
+23246 If Jimmy can make 5 burgers every 4 minutes, his rate is 5/4 burger/minute.
If DeJuan can make 3 burgers every 7 minues, his rate is 3/7 burger/minute.
Let them work for n minutes.
Rate x Time (for Jimmy) + Rate x Time (for DeJuan) = Total Amount Made
(5/4)n + (3/7)n = 5
Multiply each term by 4 x 7 = 28:
28(5/4)n + 28(3/7)n = 28(5)
35n + 12n = 140
47n = 140
n = 140/47 = 2.98 minutes --- or 3 minutes
