Tickets at a soccer league game costs $2 for children and $5 for adults. If a total of 500 tickets were sold and the total money collected $1600 for a game, how many adult tickets were sold?​

Step-by-step explanation:

500 = n of tickets for both children and adults

a = adults

c = children

500 = a + c

a = 500 - c

(2 × c )+ (5 × a) = 1600

a = 500- c

2c + (5 × ( 500- c )) = 1600

2c + 2500 - 5c = 1600

- 3c = 1600 - 2500

- 3c = - 900

c = 300

300 ticket for children

a = 200 ticket for adults

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.