Question

How many bows can you make from \[3\dfrac{2}{3}\] meters of ribbon if \[\dfrac{1}{4}\] of a meter of ribbon makes one bow?

Answer 1

Hint: Here, we need to convert the word problems to mathematical equations. We use a simple method to solve it by an algebraic equation. Here, we have to find the number of bows we can make from the given ribbon fabric and they give certain meters only used for making a bow.

Complete step by step solution:
Make sure to use the relevant operation for the expression to make an algebraic equation.
So, here, we can make a bow from the given ribbon is \[3\dfrac{2}{3}\] meters.
We have to use \[\dfrac{1}{4}\] of a meter of ribbon is required for making one bow.
To find how many bows can we make from \[3\dfrac{2}{3}\] meters of ribbon required for a bow, We should use only \[\dfrac{1}{4}\] meter of ribbon is used for a bow.
By solving it from algebraic equation, we have
Since, we want to use \[\dfrac{1}{4}\] meter of ribbon to make each bow.
Total meters of ribbon we have \[3\dfrac{2}{3}\] meters,
Simplify it,
Total number of ribbon is \[\dfrac{{11}}{3}\] meters
We can represent \[x\] as the unknown value, by write this as
 \[x = \] Total number of ribbons ÷ Number of meters for each bows.
By substitute values, we get
 \[14\]
By multiply the reciprocal of divisor, we have
 \[x = \dfrac{{11}}{3} \times \dfrac{4}{1} = \dfrac{{44}}{3}\]
By simplify it, we get
 \[x = 14.6\]
Finally, there are \[14\] bows that can be made from \[3\dfrac{2}{3}\] meters of fabric.
So, the correct answer is “14”.

Note: We need to convert the word problem into a mathematical equation, go through the question clearly and then use the algebraic equation to solve it. To remember the values and apply carefully to the equation.