For a recipe call,
Number of teaspoons of mustard seeds = [tex]3\frac{1}{2} =\frac{7}{2}[/tex]
Number of cups of tomato sauce = 4
Number of cups of beans = [tex]9\frac{3}{4} =\frac{39}{4}[/tex]
For 4 cups of tomato sauce, the number of teaspoons of mustard seeds needed = [tex]\frac{7}{2}[/tex]
For 1 cup of tomato sauce, the number of teaspoons of mustard seeds needed = [tex]\frac{7}{8}[/tex]
For [tex]2\frac{2}{3} =\frac{8}{3}[/tex] cups of tomato sauce, the number of teaspoons of mustard seeds needed = [tex]\frac{7}{8} (\frac{8}{3} )[/tex]
[tex]=\frac{7}{3}=2 \frac{1}{3}[/tex]
Hence, for [tex]2\frac{2}{3}[/tex] cups of tomato sauce, the number of teaspoons of mustard seeds needed is [tex]2\frac{1}{3}[/tex].
For 4 cups of tomato sauce, the number of cups of beans needed = [tex]\frac{39}{4}[/tex]
For 1 cup of tomato sauce, the number of cups of beans needed = [tex]\frac{39}{16}[/tex]
For [tex]2\frac{2}{3} =\frac{8}{3}[/tex] cups of tomato sauce, the number of cups of beans needed = [tex]\frac{39}{16} (\frac{8}{3} )[/tex]
[tex]=\frac{13}{2}=6 \frac{1}{2}[/tex]
Hence, for [tex]2\frac{2}{3}[/tex] cups of tomato sauce, the number of cups of beans needed is [tex]6\frac{1}{2}[/tex].
