Abigail and Liza Work as carpenters for different companies Abigail earns $20 Per hour at her company and Liza Word for a total of 30 hours in together earned a total of 690 how many hours did Liza work last week?

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Complete Question:

Abigail and Liza work as carpenters for different companies. Abigail earns $20 per hour at her company and Liza earns $25 per hour at her company. Last week, Abigail and Liza worked for a total of 30 hours and together earned a total of $690. How many hours did Liza work last week?

Lisa worked for 18 hours last week

Step-by-step explanation:

Let the number of hours Abigail worked last week = A

Let the number of hours Liza worked last week = B

Abigail earns = $20 per hour at her company

Liza earns = $25 per hour at her company

A + B = 30 Equation 1

B = 30 - A

20 × A + 25 × B = 690

20A + 25B = 690 Equation 2

Substitute 30 - A for B in Equation 2

Hence, we have:

20A + 25(30 - A) = 690

20A + 750 - 25A = 690

Collect like terms

20A - 25A = 690 - 750

-5A = -60

A = -60/-5

A = 12

Since A represents the number of hours Abigail worked, Abigail worked for 12 hours last week.

Substitute 12 for A in Equation 1

A + B = 30

12 + B = 30

B = 30 - 12

B = 18

Since B represents the number of hours Liza worked, therefore, Liza worked for 18 hours last week.

the answer

b. they are parallel and will never intersect.