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Number 4. Ntutu had 32 cows. The number of sheep was twelve times the number of cows. The number of goats was 1344 more than the number of sheep. If Ntutu sold 3/4 of the goats, how many goats remaine

Mathematics

ScanSolve AI Answer

Answer

432 goats432 \text{ goats}

Step-by-step solution

5 steps

Here's the solution for number 4.

4)

  1. Determine the number of cows.

    The number of cows is given as 32.

  2. Determine the number of sheep.

    The number of sheep was twelve times the number of cows.
    Number of sheep = 12×32=38412 \times 32 = 384

  3. Determine the total number of goats.

    The number of goats was 1344 more than the number of sheep.
    Total number of goats = 384+1344=1728384 + 1344 = 1728

  4. Calculate the number of goats sold.

    Ntutu sold 34\frac{3}{4} of the goats.
    Goats sold = 34×1728\frac{3}{4} \times 1728
    Goats sold = 3×172843 \times \frac{1728}{4}
    Goats sold = 3×432=12963 \times 432 = 1296

  5. Calculate the number of goats that remained.

    Goats remaining = Total number of goats - Goats sold
    Goats remaining = 1728−1296=4321728 - 1296 = 432

    432 goats432 \text{ goats}
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