Mr. smith but seven tickets to the puppet show and spent a total of $43. adult tickets cost nine dollars and children six tickets cost four dollars. how many tickets to each type did mr. smith purchase?

4 kid tickets and 3 adult tickets

Step-by-step explanation:

4 x 4 = 16 + 9 x 2 = 43(?)

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

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