Answer:
[tex]\frac{15}{4}[/tex] pounds of cheese Sam had bought altogether.
Explanation:
Mass of Swiss cheese bought by Sam = [tex]2\frac{1}{4}=\frac{9}{4} pounds[/tex]
Mass of cheddar cheese bought by Sam = [tex]1\frac{1}{2}=\frac{3}{2} pounds[/tex]
Total mas of cheese bought by Sam:
[tex]\frac{9}{4} pounds+\frac{3}{2} pounds[/tex]
[tex]=\frac{9\times 2+3\times 4}{4\times 2} pounds=\frac{30}{8} pounds=\frac{15}{4} pounds[/tex]
[tex]\frac{15}{4} pounds=3\frac{3}{4}[/tex] pounds
[tex]\frac{15}{4} [/tex] pounds of cheese Sam had bought altogether.
