A culinary club earns $1116 from a dinner service. They sold 32 adult meals and 60 student meals. An adult meal costs twice as much as a student meal. What is the cost of an adult meal? Please explain and show all steps! The answer is 18, but I don't get how.

  $18

Step-by-step explanation:

Let x represent the cost of an adult meal (the value we want to know). The cost of a student meal is half that, or x/2. The total cost of all the meals is ...

  60(x/2) +32x = 1116

  62x = 1116 . . . . . collect terms

  x = 1116/62 = 18 . . . . divide by 62

The cost of an adult meal is $18.

Additional comment

You can instead use a variable for the cost of a student meal, or you can use variables for both:

  a = 2s

  32a +60s = 1116

It makes sense here to solve this by eliminating the s variable in any of several ways, since you ultimately want to know the value of 'a'.

-2 is the right

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet