Sally and Karl work at different jobs. Sally earns $7 per hour and Karl earns $5 per hour. They each earn the same amount per week but Karl works 2 more hours. How many hours a week does Karl work?

Karl works 7 hours a week

Step-by-step explanation:

Step 1: Determine total amount that Sally earns

Total amount Sally earns=rate per hour*number of hours worked (h)

where;

Rate per hour=$7 per hour

Number of hours worked=h

Replacing;

Total amount Sally earns = (7*h) = 7 h

Step 2: Determine total amount Karl earns

Total amount Karl earns=rate per hour*number of hours worked

where;

rate per hour=$5

number of hours worked=2 more than Sally=h+2

replacing;

Total amount Karl earns=5 (h+2)

Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h

7 h=5 (h+2)

7 h=5 h+10

7 h-5 h=10

2 h=10

h=10/2

h=5

Karl works (h+2) hours = (5+2) = 7 hours

Karl works 7 hours a week