24 yards of ribbon would cost 50.64.
Further Explanation
This problem can be solved using ratios and proportion. It can be solved using an equation with one variable.
STEP 1: Sort the given.
To solve, first we must sort the given in the problem:
cost of 3 yards of ribbon = 6.33
STEP 2: Represent unknown as variable.
If we let x be the cost of yard of ribbon, we can represent the given above using the equation below:
[tex]\boxed {3x =6.33}[/tex]
STEP 3: Solve for the variable.
Then we solve for x to get the price per yard. To do this, we divide both sides of the equation by 3 to cancel the coefficient of x:
[tex]3x = 6.33\\\frac{3x}{3} = \frac{6.33}{3}\\\boxed {x = 2.11}[/tex]
Therefore, the price of one yard of ribbon is 2.11.
Now that we know the price per yard, we can calculate the price of 24 yards:
[tex]price \ of \ 24 \ yards \ = 24x\\price = 24 \times \ 2.11\\\boxed {price = 50.64}[/tex]
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Keywords: ratio, proportion, variable, equation
