Answer:
This year the parking lot should have 16 spaces for RVs
Step-by-step explanation:
we know that
using proportion
[tex]\frac{66}{104-r}=\frac{12}{r}[/tex]
solve for r
Multiply in cross
[tex](66)(r)=(104-r)(12)[/tex]
[tex]66r=1,248-12r[/tex]
[tex]78r=1,248[/tex]
[tex]r=16[/tex]
therefore
This year the parking lot should have 16 spaces for RVs
x ----> the number of car spaces
r ----> the number of RV spaces
we know that
[tex]\frac{x}{r}=\frac{66}{12}=5.5[/tex]
[tex]x=5.5r[/tex] ----> equation A
[tex]x+r=104[/tex] ----> equation B
substitute equation A in equation B
[tex]5.5r+r=104[/tex]
solve for r
[tex]6.5r=104[/tex] \
[tex]5.5r+r=104[/tex]
