Respuesta :
Answer:
The cost of mixture is
[tex]\dfrac{12m + 30n}{m+n}\text{ dollars per gallon}[/tex]
Step-by-step explanation:
We are given the following in the question:
Cost of white per gallon = $12 a gallon
Amount of white paint in the mixture = m gallons
Total cost of white paint =
[tex]12\times m = 12m\$[/tex]
Cost of blue per gallon = $30 a gallon
Amount of blue paint in the mixture = n gallons
Total cost of blue paint =
[tex]30\times n = 30n\$[/tex]
Total cost of mixture =
Total cost of white paint + Total cost of blue paint
[tex](12m + 30n)\text{ dollars}[/tex]
Total amount of mixture =
Amount of white paint in the mixture + Amount of blue paint in the mixture
[tex]=(m+n)\text{ gallons}[/tex]
Cost of mixture per gallon =
[tex]=\dfrac{\text{Total cost}}{\text{Total amount}}\\\\=\dfrac{12m + 30n}{m+n}\text{ dollars per gallon}[/tex]
is the required cost of mixture.
