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.Com
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)   (Show Source): You can put this solution on YOUR website!
Let = hourly pay baby-sitting
Let = hourly pay in restaurant
given:
(1)
(2)
These are 2 equations and 2 unknowns, so it's solvable
Multiply both sides of (2) by and
subtract (1) from (2)
(2)
(1)


and, since
(2)




She makes $5/hr babysitting and $6/hr at restaurant
check:
(1)



OK
(2)



OK

RELATED QUESTIONS

When Angela baby-sat for 8 hours and worked at a restaurant for 3 hours, she made a total (answered by josmiceli)
6.4 Part I. Use two variables and two equations to set up each problem. Do not... (answered by ordy)
Paula calculates her total eranings for the month with the equation, E=15m+5b, where E is (answered by edjones)
Denises friend Allison charges 8.00 per hour for the first 2 hours to baby sit a child... (answered by addingup)
A babysitter charges $ 1.75 per hours. She also charges the parents another $1.00 per... (answered by rfer)
Please help me with this word problem: Chris needs $150 to buy a new bike. she has... (answered by checkley71)
Mary, sue and bill work at a motel. If each worked alone, it would take mary 10 hours,... (answered by lwsshak3)
Sophia earned $52 at her job when she worked for 2 hours. What was her hourly pay rate in (answered by stanbon,Theo,ikleyn)
For babysitting Nicole charges a flat fee of $3 plus $5 per hour. Write an equation for... (answered by josmiceli)