Question

Giselle works as a carpenter and as a blacksmith.

She earns $20per hour as a carpenter and $25dollar sign per hour as a blacksmith. Last week, Giselle worked both jobs for a total of 30 hours, and earned a total of $690
How long did Giselle work as a carpenter last week, and how long did she work as a blacksmith?

Answer 1

she worked 12 hours as a carpenter and 18 hours as a blacksmith

Explanation:

Let x = the number of hours for which she worked as a carpenter

Let y = be the number of hours for which she worked as a blacksmith

Total numbers of hours she worked = 30

x + y = 30 (1)

she earned a total $690. She earned $20 dollar per hour as a carpenter and $25 per hour as a blacksmith.

20 x + 25 y = 690 (2)

Equation (2) - 20 × Equation (1),

We get,

5 y = 90 ⇒ y = 18

After substituting this value in equation (1),

We get, x = 12,

Hence, She worked as a carpenter = x hours = 12 hours

And, as a blacksmith = y hours = 18 hours