Question

Every year Sid uses 2 ¾ bottles of washing up liquid. His friend uses 3 ¼ bottles. How much do they use altogether? How much more washing up liquid does his friend use when compared to him?

Answer 1

6 bottles ,
`(1)/(2) \ bottles`

Explanation:

Given:

Every year Sid uses 2 ¾ bottles of washing up liquid.

His friend uses 3 ¼ bottles.

Question asked:

How much do they use altogether?

How much more washing up liquid does his friend use when compared to him?

Solution:

Sid uses bottles of washing up liquid =
`2(3)/(4)`

His friend uses bottles of washing up liquid =
`3(1)/(4)`

They use bottles of washing up liquid
`=2(3)/(4)+3(1)/(4)`

`=(4*2+3)/(4) +(4*3+1)/(4) \\ \\ =(11)/(4) +(13)/(4) \\ \\ =(11+13)/(4) \\ \\ =(24)/(4) \\ \\ =6\ bottles`

Thus, they use 6 bottles of washing up liquid together.

Now, to calculate that his friend uses how much more washing up liquid than Sid, we will subtract Sid uses number of bottles from his friend uses number of bottles:-

`=(13)/(4) -(11)/(4) \\ \\ =(13-11)/(4) \\ \\ =(2)/(4) \\ \\ =(1)/(2) \ bottles\ (half\ bottles)`

Thus, his friend uses half bottles more than Sid.