2.a. Solve for x given 4:(x+5)=1:2.
Step 1: Write the ratio as a fraction.
x+54=21
Step 2: Cross-multiply.
4×2=1×(x+5)
8=x+5
Step 3: Solve for x.
8−5=x
x=3
The solution is x=3.
2.b. Change the following amounts in U.S. dollars to Cedis. (Exchange rate, 1=GHC4.56)
i. 200
Step 1: Multiply the amount in dollars by the exchange rate.
$$ 200 \times 4.56 = 912 $$
The amount is \boxed{GHC