Respuesta :
Answer:
Giselle worked 18 hours as blacksmith and 12 hours as carpenter.
Step-by-step explanation:
Let C be the number of hours Giselle works as carpenter and B represent the number of hours Giselle works as blacksmith.
We have been given that last week, Giselle worked both jobs for a total of 30 hours. We can represent this information in an equation as:
[tex]B+C=30...(1)[/tex]
We are also told that she earns $25 per hour as a blacksmith, so so amount earned in B hours will be 25B.
As Giselle earns $20 per hour as a carpenter, so amount earned in C hours will be 20C.
Since she earned a total of $690 last week by doing both jobs, we can represent this information in an equation as:
[tex]25B+20C=690...(2)[/tex]
We will use substitution method to solve our system of linear equations.
From equation (1) we will get,
[tex]C=30-B[/tex]
Substituting this value in equation (2) we will get,
[tex]25B+20(30-B)=690[/tex]
[tex]25B+600-20B=690[/tex]
[tex]25B+600-600-20B=690-600[/tex]
[tex]25B-20B=690-600[/tex]
[tex]5B=90[/tex]
[tex]\frac{5B}{5}=\frac{90}[/tex]
[tex]B=18[/tex]
Therefore, Giselle worked 18 hours as blacksmith.
Upon substituting B=18 in equation (1) we will get,
[tex]18+C=30[/tex]
[tex]18-18+C=30-18[/tex]
[tex]C=12[/tex]
Therefore, Giselle worked 12 hours as carpenter.
