Answer:
She worked 12 hours as a carpenter and 18 hours as a blacksmith
Step-by-step explanation:
You can solve this problem using a system of equations:
where c represents hours worked as a carpenter, and b represents hours worked as a blacksmith;
c + b = 30
20c + 25b = 690
To solve this system, you can multiply the first equation by 20 and subtract it from the second to isolate b:
20c + 25b = 690
<u>- 20c + 20b = 600</u>
5b = 90
Now, you can solve for b:
5b = 90
b = 18 (divide both sides by 5)
Now that you know b, you can input it into the first equation to find c:
b + c = 30, where b = 18;
18 + c = 30 (replace b in the equation with 18 because of transitive property of equality)
c = 12 (subtract 18 from both sides of the equation))
