Verified Answer :

2 1/4 + 1 1/2 = 9/4 + 3/2 = 9/4 + 6/4 = 15/4 = 3 3/4

Answer: There is \(3\frac{3}{4}\ pounds\) of cheese Sam buy altogether.

Step-by-step explanation:

Since we have given that

Number of pounds of Swiss cheese is given by

\(2\frac{1}{4}\\\\=\frac{9}{4}\ pounds\)

Number of pounds of Cheddar is given by

\(1\frac{1}{2}\\\\=\frac{3}{2}\ pounds\)

Total number of pounds of cheese Sam buy altogether is given by

\(\frac{9}{4}+\frac{3}{2}\\\\=\frac{9+6}{4}\\\\=\frac{15}{4}\\\\=3\frac{3}{4}\ pounds\)

Hence, there is \(3\frac{3}{4}\ pounds\) of cheese Sam buy altogether.