Answer:
The amount of money A pays is [tex]\$51[/tex]
Step-by-step explanation:
Let
x-----> amount of money A pays
y-----> amount of money B pays
we know that
[tex]x+y=85[/tex] ------> equation A
[tex]\frac{x}{y}=\frac{3}{2}[/tex]
so
[tex]y=\frac{2}{3}x[/tex] ------> equation B
substitute equation B in equation A and solve for x
[tex]x+(\frac{2}{3}x)=85[/tex]
[tex]\frac{5}{3}x=85[/tex]
[tex]x=85*3/5=\$51[/tex]
