We are given the rate at which a machine can paint cabinet doors, which is the following:
[tex]\text{Rate}=\frac{24\text{cabinet doors}}{45\min }[/tex]Converting minutes into hours
[tex]\frac{24\text{cabinet doors}}{45\min}\times\frac{45\min}{(\frac{3}{4})\text{hours}}=\frac{(24\cdot4)\text{cabinet}}{3\text{hours}}=32\frac{cabinet}{\text{hour}}[/tex]That means that at this rate, in one hour the numbers of cabinets is 32
