Burger joint is celebrating their grand opening. for 2 milkshakes and 3 burgers, the cost is $13. for 5
milkshakes and 7 burgers, the cost is $31.
what is the cost of 1 burger and 1 milkshake?

For this case we propose a system of equations:

x: Let the variable representing the cost of a milkshake

y: Let the variable representing the cost of a burger

According to the statement we have:

We multiply the first equation by -5:

We multiply the second equation by 2:

We have the following equivalent system:

We add the equations:

Thus, the cost of a burger is $3.

So, the cost of a milkshake is $2

Burger: $3

Milkshake: $2

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: