Question 181715
The Method Substitution
6. Samantha works twice as many hours per week as Adriana. Together they work a total of 39 hour one week.
a) State how you will assign variables.
b) Write an equation to represent the information in the first sentence.
c) Write an equation to represent the information in the second sentence.
d) Use the method of substitution to find the number of hours worked by each person
:
a)let s and a be the number of hours samantha and adriana work respectively
:
b)s=2a..........eq 1
:
c)s+a=39........eq 2
:
d)take s's value from eq 1 and substitute it inot eq 2
:
2a+a=39
:
3a=39
:
{{{highlight(a=13)}}}hours worked by adriana
:
{{{highlight(s=2a=2(13)=26)}}}hours worked by Samantha