Tickets to the local carnival cost $5.50 for adults and $3.00 for children under the age of 12. a group of 8 people bought tickets to the carnival for $36.50. write a system of equations to represent this scenario. how many adult tickets were sold?

The number of adult tickets sold was 5

Step-by-step explanation:

Let

x ----> the number of adult tickets

y ----> the number of child tickets

we know that

isolate the variable y

----> equation A

----> equation B

Solve the system by substitution

substitute equation A in equation B

solve for x

apply distributive property left side

combine like terms

subtract 24 both sides

Divide by 2.50 both sides

therefore

The number of adult tickets sold was 5

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584