Let's analyze the information given in the problem and add up all the amounts of fruit Joanna bought:
1. Apples: [tex]\( 1 \frac{1}{2} \)[/tex] pounds or [tex]\( 1.5 \)[/tex] pounds.
2. Strawberries: [tex]\( \frac{3}{4} \)[/tex] of a pound or [tex]\( 0.75 \)[/tex] pounds.
3. Grapes: [tex]\( \frac{1}{2} \)[/tex] of a pound or [tex]\( 0.5 \)[/tex] pounds.
4. Oranges: [tex]\( 1 \frac{3}{4} \)[/tex] pounds or [tex]\( 1.75 \)[/tex] pounds.
5. Pears: [tex]\( 1 \frac{1}{4} \)[/tex] pounds or [tex]\( 1.25 \)[/tex] pounds.
Now, we add all these amounts together:
[tex]\[ 1.5 \, \text{(apples)} + 0.75 \, \text{(strawberries)} + 0.5 \, \text{(grapes)} + 1.75 \, \text{(oranges)} + 1.25 \, \text{(pears)} \][/tex]
Let’s simplify this step-by-step:
[tex]\[ 1.5 + 0.75 = 2.25 \][/tex]
[tex]\[ 2.25 + 0.5 = 2.75 \][/tex]
[tex]\[ 2.75 + 1.75 = 4.5 \][/tex]
[tex]\[ 4.5 + 1.25 = 5.75 \][/tex]
So, the total pounds of fruit Joanna bought in all is [tex]\( 5.75 \)[/tex] pounds.
Thus, the correct answer is:
C. [tex]\( 5 \frac{3}{4} \)[/tex]
