Question

Joseph is eating his favorite kind of cookie.The cookie is part of 9/10 cm thick. The frosting is 33/100 cm thick.What expression can be used to find the total thickness of the cookie and the frosting

Answer 1

The expression is:
`\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}`

The thickness of the cookie is:
`(123)/(100)` cm

Explanation:

The cookie is formed by two layers, the cookie and the frosting. So if we want to know the total thickness of the cookie and frosting we need to sum the thickness of each layer as shown below:

`\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}\\\text{total thickness} = (9)/(10) + (33)/(100)\\\\\text{total thickness} = (10*9 + 33)/(100)\\\\\text{total thickness} = (123)/(100) \text{ cm}`

The expression is:
`\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}`

The thickness of the cookie is:
`(123)/(100)` cm