Mega Movies hosted a film premiere on Friday night. They charged $8 for adults and $6 for children. One hundred seventy-four adults and children attended, and $1,342 was made in ticket sales. How many children and how many adults went to the film premiere? A. 19 children; 155 adults B. 25 children; 149 adults C. 22 children; 152 adults D. 29 children; 145 adults

25 children and 149 adults

Option B

Step-by-step explanation:

Let the number of children be c and the number of adults be a.

Firstly, 174 people attended irrespective of age.

Mathematically, this means:

c + a = 174. (I)

Also, $1,342 was made in tickets sales. We can make mathematics out of this:

8a + 6c = 1,342. (ii)

We solve no the equations simultaneously. Let c = 174 - a from 1. We substitute this into ii: this means

8a + 6(174-a) = 1,342

8a + 1044 - 6a = 1342

2a + 1044 = 1342

2a = 1342 - 1044

2a = 298

a = 298/2

a = 149

Number of children is c = 174 - a = 174-149 = 25

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.