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)x = 2
x = 2 / (1/6)
x = 2 * 6
x = ?
To find the number of pieces in the whole cake, we can use the information provided by Taylor.
Let's assume that the number of pieces in the whole cake is represented by 'x'. Taylor mentioned that 1/6 of the cake is left, which means there are 2 pieces left out of 'x' pieces in total.
So we can set up the following equation to represent the situation:
1/6 * x = 2
To solve for 'x', we can start by multiplying both sides of the equation by 6 to get rid of the fraction:
(1/6 * x) * 6 = 2 * 6
x = 12
Therefore, there were 12 pieces in the whole cake.
To show this visually, we can draw a rectangle to represent the cake, and divide it into equal pieces. Since we know there are 2 pieces left, we can shade those pieces on the drawing. By counting the total number of shaded pieces, we can determine the number of pieces in the whole cake.