a drawing of a surboard in a catalog shows it's length as 8 4/9 inches. find the actual length of surfboard if 1/2 inch length on the drawing correspond to 3/8 foot of actual length.



Answer :

[tex]\frac12 in -\frac38 ft \\ 8\frac48 in - x\ ft\\ \\ \frac12x=\frac38 \cdot 8\frac49\\ \frac12x=\frac38 \cdot \frac{76}9\\ \frac12x=\frac{76}{24}\ /\cdot 2\\ x=\frac{76}{12}=6\frac13 ft\\\\ Answer:Actual\ lenght\ is\ 6\frac13ft.[/tex]