Answer:
a. 64 tickets.
b. $11.
Step-by-step explanation:
a.
[tex]y[/tex] is given as [tex]37[/tex], and the question is asking for the value of [tex]x[/tex].
Solve this equation with respect to [tex]x[/tex].
[tex]0.50x + 5.00 = 37[/tex].
Subtract 5.00 from both sides of this equation:
[tex]0.50x = 32[/tex].
[tex]\displaystyle x= \frac{32}{0.50} = 64[/tex].
In other words, 64 tickets were purchased.
b.
[tex]x = 12[/tex], and the question is asking for the value of [tex]y[/tex].
Replace [tex]x[/tex] with 12 and evaluate the expression [tex]y = 0.50x + 5.00[/tex] for [tex]y[/tex].
[tex]y = 0.50\times 12 + 5.00 = 11.00[/tex].
In other words, $11.00 were spent.
