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.

How you get the answer and draw?

x x 1

y y 2
y y 3
y y 4
y y 5
y y 6

all the x and y pieces are the same size. I call the two left over pieces x and then draw enough y s to make the x part one sixth of the total
then I have 12 pieces total

So you know that 1/6 of the cake is 2 pieces. Multiply 2 by 6.

To draw, make a circle with 12 equal parts, and shade 2 of them.

Thank you to Anonymous

Anonymous thanks.

thank you it is march and i found this helpful 2 months after your posting!

your mum

2 + 2 + 2 + 2 + 2 + 2 = 12 pieces

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To find the number of pieces in the whole cake, given that Taylor said 1/6 of the cake is left, we can use a simple proportion.

Let's assume that there were 'x' pieces in the whole cake. Since 1/6 of the cake is left, we can say that the remaining pieces are also 1/6 of the original number of pieces.

So, the equation becomes:

1/6 * x = 2

To solve for 'x', we can multiply both sides of the equation by 6:

(1/6 * x) * 6 = 2 * 6

x = 12

Therefore, there were 12 pieces in the whole cake.

To draw this, you can represent the original cake as a circle and divide it into 12 equal slices. Fill in 2 slices to represent the remaining pieces, indicating that 2 out of 12 pieces are left.