Question

a new condominium improvement project requires 11 3/4 gallons of paint for each unit. how many units can be painted with 376 gallons of paint

Answer 1

376 gallons of paint will paint 32 units of the project.

Conversion of Mixed Fraction to Improper Fraction

We need to first of all convert the mixed fraction into improper fraction.

`11(3)/(4)=(47)/(4)`

Now that we've calculated that, let us find how many units can be painted with 376 gallon

If 1 unit will consume 47/4 gallons of paint

x unit will consume x gallons of paint

`\begin{gathered} 1=(47)/(4) \\ x\text{ unit}=376 \\ x=(376*1)/((47)/(4)) \\ x=32 \end{gathered}`

NB: what we did was cross multiply both sides and solve for x.

From the calculations above, we can see that 376 gallons will paint 32 units.