9514 1404 393
Answer:
£374
Step-by-step explanation:
Let d represent Carol's decreased wage, w represent its original value, and i represent that wage with an increase.
We want to find i = w(1 +10%) = 1.10w.
We have d = w(1 -10%) = 0.90w.
Solving the latter for w, we find ...
w = d/0.90
Substituting this into the expression for i, we get ...
i = 1.10(d/0.90) = d(1.10/0.90) = d(11/9)
Then the increased wage would have been ...
i = £306(11/9) = £374
Had Carol received a 10% increase, her weekly wage would be £374.
