SOLUTION: When Angela baby-sat for 8 hours and worked at a restaurant for 3 hours, she made a total of $64. When she baby-sat for 2 hours and worked at a restaurant for 5 hours,she made a to

Algebra ->  Functions -> SOLUTION: When Angela baby-sat for 8 hours and worked at a restaurant for 3 hours, she made a total of $64. When she baby-sat for 2 hours and worked at a restaurant for 5 hours,she made a to      Log On


   



Question 563374: When Angela baby-sat for 8 hours and worked at a restaurant for 3 hours, she made a total of $64. When she baby-sat for 2 hours and worked at a restaurant for 5 hours,she made a total of $50. How much does Angela get paid for each type of work? Use a system to solve this problem.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = rate for baby sitting
Let +b+ = rate for restaurant
given:
(1) +8a+%2B+3b+=+64+
(2) +2a+%2B+5b+=+50+
----------------
Multiply both sides of (2) by +4+
and subtract (1) from (2)
(2) +8a+%2B+20b+=+200+
(1) +-8a+-+3b+=+-64+
+17b+=+136+
+b+=+8+
and
(2) +2a+%2B+5b+=+50+
(2) +2a+%2B+5%2A8+=+50+
(2) +2a+=+50+-+40+
(2) +2a+=+10+
(2) +a+=+5+
$5/hr = rate for baby sitting
$8/hr = rate for restaurant
check:
(1) +8%2A5+%2B+3%2A8+=+64+
(1) +40+%2B+24+=+64+
(1) +64+=+64+
and
(2) +2%2A5+%2B+5%2A8+=+50+
(2) +10+%2B+40+=+50+
(2) +50+=+50+
OK