Question

There were 8 cakes at a cake shop. The first customer bought 1 1/12, and another bought 1. 5/6. How many cakes are left

a) 5
b) 6
c) 7
d) 8

Answer 1

There are 5 cakes left.

Step-by-step explanation:

To find out how many cakes are left, we need to subtract the number of cakes bought from the total number of cakes. The first customer bought 1 1/12 cakes, which is equivalent to 12/12 + 1/12 = 13/12. The second customer bought 1 5/6 cakes, which is equivalent to 6/6 + 5/6 = 11/6. Therefore, the total number of cakes bought is 13/12 + 11/6 = (13/12) + (22/12) = 35/12.

To find the number of cakes left, we subtract 35/12 from the original 8 cakes.
8 - 35/12 = (96/12) - (35/12) = 61/12.

So, there are 61/12 cakes left. Since we cannot have a fraction of a cake, we need to convert the fraction to a whole number. Dividing 61 by 12 gives us a quotient of 5 with a remainder of 1. Therefore, there are 5 cakes left.