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Answer:
Mini golf costs $10 per round and batting cages cost $2.5 each turn.
Step-by-step explanation:
mini golf ([tex]m[/tex])
batting caves ([tex]b[/tex])
Sylvester:
[tex]5m+4b=60[/tex]
Lin
[tex]3m+6b=45[/tex]
System of equations:
[tex]$\left \{ {{5m+4b=60} \atop {3m+6b=45}} \right. $[/tex]
[tex]$\left \{ {{5m(-3)+4b(-3)=60(-3)} \atop {3m(5)+6b(5)=45(5)}} \right. $[/tex]
[tex]$\left \{ {{-15m-12b=-180} \atop {15m+30b=225}} \right. $[/tex]
[tex]18b=45[/tex]
[tex]b=2.5[/tex]
Now let's find [tex]m[/tex]
[tex]3m+6(2.5)=45\\3m+15=45\\3m=30\\m=10[/tex]