Answer:
It was 6 7/8 pounds of fruit in the fruit salad.
Step-by-step explanation:
Regina bought in total (in pounds) of fruit: B
[tex]B=3\frac{1}{2}+4\frac{3}{4}\\ B=\frac{3(2)+1}{2}+\frac{4(4)+3}{4}\\ B=\frac{6+1}{2}+\frac{16+3}{4}\\ B=\frac{7}{2}+\frac{19}{4}\\ B=\frac{7}{2}.1+\frac{19}{4}\\ B=\frac{7}{2}.\frac{2}{2}+\frac{19}{4}\\ B=\frac{7(2)}{2(2)}+\frac{19}{4}\\ B=\frac{14}{4}+\frac{19}{4}\\ B=\frac{14+19}{4}\\ B=\frac{33}{4}[/tex]
Regina bought in total 33/4 pounds of fruit
She used all (33/4 pounds) but 1 3/8 pounds of the fruit in a fruit salad, then she used in the fruit salad (in pounds): S
[tex]S=B-1\frac{3}{8}\\ S=\frac{33}{4}-\frac{1(8)+3}{8}\\ S=\frac{33}{4}-\frac{8+3}{8}\\ S=\frac{33}{4}-\frac{11}{8}\\ S=\frac{33}{4}.1-\frac{11}{8}\\ S=\frac{33}{4}.\frac{2}{2}-\frac{11}{8}\\ S=\frac{33(2)}{4(2)}-\frac{11}{8}\\ S=\frac{66}{8}-\frac{11}{8}\\ S=\frac{66-11}{8}\\ S=\frac{55}{8}\\ S=\frac{48+7}{8}\\ S=\frac{48}{8}+\frac{7}{8}\\ S=6+\frac{7}{8}\\ S=6\frac{7}{8}[/tex]
It was 6 7/8 pounds of fruit in the fruit salad.
