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Kofi borrowed GH¢50 from his friend. He then spent GH¢30 on food and earned GH¢20 from a job. Which expression correctly represents his financial situation?

Mathematics

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22. Kofi borrowed GH₵50 from his friend. He then spent GH₵30 on food and earned GH₵20 from a job. Which expression correctly represents his financial situation?

  1. Represent each financial transaction with a signed number.

    • Borrowing GH₵50 means a debt, so it's represented as −50-50.
    • Spending GH₵30 means a decrease in money, so it's represented as −30-30.
    • Earning GH₵20 means an increase in money, so it's represented as +20+20.
  2. Combine these values into a single expression.

    The financial situation is the sum of these transactions:

    −50−30+20-50 - 30 + 20

    This matches option B.

    The final answer is B. −50−30+20\boxed{\text{B. } -50 - 30 + 20}.

    23. Two numbers have a ratio of 5:3. If their sum is 40, what is the larger number?

  3. Represent the two numbers using the given ratio.

    Let the two numbers be 5x5x and 3x3x, where xx is a common multiplier.

  4. Set up an equation using their sum.

    The sum of the two numbers is 40:

    5x+3x=405x + 3x = 40
  5. Solve for xx.

    8x=408x = 40 x=408x = \frac{40}{8} x=5x = 5
  6. Find the larger number.

    The two numbers are 5x5x and 3x3x.
    The first number is 5×5=255 \times 5 = 25.
    The second number is 3×5=153 \times 5 = 15.
    The larger number is 25.

    The final answer is C. 25\boxed{\text{C. } 25}.

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