suppose there are 2 pieces of the cake left over, but you don't know how many pieces were in the whole cake. explain how you could find the number of pieces in the whole cake if taylor told you 1/6 of the cake was left. you may show your work in a drawing.
1/6 of whole cake = 2 pieces
multiply by 6 to get 12 pieces
check your answer. 1/6 of 12 does = 2
To find the number of pieces in the whole cake, given that 1/6 of the cake is left and there are 2 pieces remaining, we can use simple algebra and fractions.
Let's assume that the whole cake was divided into 'x' number of pieces initially.
Since 1/6 of the cake is left, we know that there are 1/6 of 'x' pieces remaining. We can represent this as (1/6) * x.
We are also told that there are 2 pieces remaining, so (1/6) * x = 2.
To solve for 'x' (the number of pieces the whole cake was divided into originally), we can multiply both sides of the equation by 6 to eliminate the fraction:
(1/6) * x * 6 = 2 * 6
x = 12
Therefore, there were originally 12 pieces in the whole cake.
As for the drawing, it would be helpful to visualize the cake being divided into equal-sized pieces. However, as a text-based AI, I cannot provide a visual drawing. Nonetheless, you can imagine a circle or rectangle representing the cake, and dividing it into equal pieces to determine the number of pieces in the whole cake.