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A music teacher is cutting ribbons for the medals. If each ribbon is 25 cm long, how many ribbons the teacher get from a roll of ribbon that is 800 cm long? What least number should be subtracted from

Mathematics

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Answer

32 ribbons\text{32 ribbons}

67\text{67}

Step-by-step solution

3 steps
  1. Solve question 9.

    The question asks: "A music teacher is cutting ribbons for the medals. If each ribbon is 25 cm long, how many ribbons the teacher get from a roll of ribbon that is 800 cm long?"

    To find the number of ribbons, divide the total length of the ribbon roll by the length of each ribbon.
    Total length of ribbon roll = 800 cm
    Length of each ribbon = 25 cm

    Number of ribbons = Total lengthLength of each ribbon\frac{\text{Total length}}{\text{Length of each ribbon}}

    80025\frac{800}{25}

    Divide 800 by 25:

    800÷25=32800 \div 25 = 32

    The teacher can get 32 ribbons\boxed{\text{32 ribbons}}.


  2. Solve question 10.

    The question asks: "What least number should be subtracted from 28375 so that the result is exactly divisible by 84? [Hint: Find the remainder]"

    To find the least number that should be subtracted, we need to divide 28375 by 84 and find the remainder.

    28375÷8428375 \div 84

    Perform the division:

    33784)28375‾−252↓317−252↓655−58867\begin{array}{r} 337 \\ 84 \overline{) 28375} \\ -252 \downarrow \\ \hline 317 \\ -252 \downarrow \\ \hline 655 \\ -588 \\ \hline 67 \end{array}

    The quotient is 337 and the remainder is 67.

  3. Determine the least number to be subtracted.

    The remainder is the least number that must be subtracted from 28375 to make it exactly divisible by 84.
    The remainder is 67.

    The least number to be subtracted is 67\boxed{\text{67}}.

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