Question

glen bakes 16 cookies. Alice bake 32 cookies.they put cookies into each bag. how nqny bags of cookies do they make?

Answer 1

The number of bags of cookies do they make together is 11 .

Explanation:

Given as :

The number of cookies baked by Glen alone = x = 16 cookies

The number of cookies baked by Alice alone = y = 32 cookies

Let the number of cookies baked by both together = z cookies

Now, According to question

Number of cookies baked by both together = number of cookies baked by Glen alone + number of cookies baked by Alice alone

Or,
`(1)/(z)` =
`(1)/(x)` +
`(1)/(y)`

Or,
`(1)/(z)` =
`(1)/(16)` +
`(1)/(32)`

Taking LCM

`(1)/(z)` =
`(2 + 1)/(32)`

Or,
`(1)/(z)` =
`(3)/(32)`

Or, z =
`(32)/(3)`

i.e z = 10.67 ≈ 11

So, The number of bags of cookies do they make together = z = 11

Hence, The number of bags of cookies do they make together is 11 . Answer