Question

Mike made 4 pints of hot chocolate for his friends if each of Mike's mugs holds 4/5 of a pint of liquid then how many friends will get hot chocolate?

Answer 1

Given that each of Mike's mug holds

`(4)/(5)\text{ of a pint of liquid}`

This implies that

`1\text{ mug holds }(4)/(5)\text{ pints}`

Let x mugs in total, hold 4 pints of chocolate.

This implies that

`x\text{ mugs hold 4 pints}`

Since each friend is assigned a mug, the total number of mugs is the same as the total number of friends.

Thus,

`\begin{gathered} 1\text{ mug }\Rightarrow(4)/(5)\text{ pints} \\ x\text{ mug }\Rightarrow4\text{ pints} \\ \end{gathered}`

By cross-multiplication, we have

`\begin{gathered} 1\text{ mug }*\text{ 4 pints = }(4)/(5)\text{ pints }*\text{ x mug} \\ \end{gathered}`

Make x the subject of the formula

`\begin{gathered} x=\frac{1\text{ mug }*\text{ 4 pints}}{(4)/(5)\text{ pints}} \\ x=\text{ 5} \end{gathered}`

Thus, 5 friends will get hot chocolate