At an amusement park, each premium ride costs $12 and each gold star ride is $8. Stan spends $96 on tickets and he gets 3 more premium rides than gold star rides. How much does he spend on gold star rides?

Respuesta :

Stan spends 24 dollars on the gold star rides, because he can afford 6 premium tickets and 3 star ride tickets

Answer:  The amount of money spent on gold star rides is $24.

Step-by-step explanation:  Let, 'x' and 'y' denotes the number of premium rides and gold star rides respectively.

Then, according to the given information, we have

[tex]12x+8y=96~~~~~~~~~~~~~~~~~(i)\\x=y+3~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

Substituting the value of 'x' from equation (ii) in equation (i), we get

[tex]12x+8y=96\\\\\Rightarrow 12(y+3)+8y=96\\\\\Rightarrow 12y+36+8y=96\\\\\Rightarrow 20y=60\\\\\Rightarrow y=3.[/tex]

So, the number of gold star rides = 4.

Therefore, the total amount of money that spent on gold star rides

= $(3 × 8)

= $ 24.

Thus, the answer is $ 24.