SOLUTION: when Samantha baby-sat for 8 hours and worked at a restaurant for 3 hours, she made 58 dollars. When she baby-sat for 2 hors and worked at a restaurant for 5 hours, she made 40 dol

Algebra ->  Expressions-with-variables -> SOLUTION: when Samantha baby-sat for 8 hours and worked at a restaurant for 3 hours, she made 58 dollars. When she baby-sat for 2 hors and worked at a restaurant for 5 hours, she made 40 dol      Log On


   



Question 231292: when Samantha baby-sat for 8 hours and worked at a restaurant for 3 hours, she made 58 dollars. When she baby-sat for 2 hors and worked at a restaurant for 5 hours, she made 40 dollars. How much does she get paid per hour to baby-sit? How much does she get paid per hour to work at a restaurant?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = hourly pay baby-sitting
Let b = hourly pay in restaurant
given:
(1) 8a+%2B+3b+=+58
(2) 2a+%2B+5b+=+40
These are 2 equations and 2 unknowns, so it's solvable
Multiply both sides of (2) by 4 and
subtract (1) from (2)
(2) 8a+%2B+20b+=+160
(1) -8a+-+3b+=+-58
17b+=+102
b+=+6
and, since
(2) 2a+%2B+5b+=+40
2a+%2B+5%2A6+=+40
2a+=+40+-+30
2a+=+10
a+=+5
She makes $5/hr babysitting and $6/hr at restaurant
check:
(1) 8a+%2B+3b+=+58
8%2A5+%2B+3%2A6+=+58
40+%2B+18+=+58
58+=+58
OK
(2) 2a+%2B+5b+=+40
2%2A5+%2B+5%2A6+=+40
10+%2B+30+=+40
40+=+40
OK