Step 1
Convert mixed numbers to an improper fractions
[tex]3\frac{1}{2} =\frac{3*2+1}{2}= \frac{7}{2}[/tex]
[tex]1\frac{3}{4} =\frac{1*4+3}{4}= \frac{7}{4}[/tex]
Step 2
Find the total cost
we know that
the total cost is equal to the cost of the gallons of white paint plus the cost of the gallons of blue paint
the cost of the gallons of white paint is equal to
[tex]\frac{7}{2}*17.50= \$61.25[/tex]
the cost of the gallons of blue paint is
[tex]\frac{7}{4}*19.00= \$33.25[/tex]
The total cost is
[tex]\$61.25+\$33.25=\$94.50[/tex]
therefore
the answer is
the total cost is [tex]\$94.50[/tex]
