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Write the ratio as a fraction.

Mathematics

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Step-by-step solution

4 steps

2.a. Solve for x given 4:(x+5)=1:24:(x+5) = 1:2.

  1. Write the ratio as a fraction.

    4x+5=12\frac{4}{x+5} = \frac{1}{2}
  2. Cross-multiply.

    4×2=1×(x+5)4 \times 2 = 1 \times (x+5) 8=x+58 = x+5
  3. Solve for xx.

    8−5=x8 - 5 = x x=3x = 3

    The solution is x = 3\boxed{\text{x = 3}}.

    2.b. Change the following amounts in U.S. dollars to Cedis. (Exchange rate, 1=GHC4.561 = \text{GHC}4.56)

    i. $200

  4. Multiply the amount in dollars by the exchange rate.

    200×4.56=912200 \times 4.56 = 912

    The amount is $\boxed{GHC

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