Answer :
Answer:
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
Final answer:
To find out how many hours Karl works, we use the equations 7S = 5K and K = S + 2. Solving these equations, we find out that Karl works 7 hours per week.
Explanation:
To solve the problem of how many hours a week Karl works, we can set up an equation using the information given about Sally and Karl's hourly wages and the fact that Karl works 2 more hours per week.
Let's denote the number of hours Sally works as S and the number of hours Karl works as K. Since Karl works 2 more hours than Sally, we can express this as K = S + 2. According to the problem, Sally earns $7 per hour and Karl earns $5 per hour, but they earn the same amount per week. This gives us the equation 7S = 5K.
Next, we can substitute S for K - 2 in the equation, giving us 7(S) = 5(K) or 7(K - 2) = 5(K). This simplifies to 7K - 14 = 5K.
Now, we solve for K:
7K - 5K = 14
2K = 14
K = 7
Thus, Karl works 7 hours a week.
