Question

The Basketball Boosters Club plans a pancake supper to raise $1,200. They can serve 240 people. They

will charge $6 for adult tickets and $2 for children's tickets. How many adult and children tickets should
they sell to make $1,200?
A) 160 adult tickets and 80 student tickets
B) 60 adult tickets and 180 student tickets
C) 180 adult tickets and 60 student tickets
D) 200 adult tickets and 40 student tickets

Answer 1

`\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}`

let the number of

• adults be x

• children be y

Total number of people : adults + children

• x + y = 240

• x = 240 - y - [1]

Total money earned from adults :

• 6 × x = 6x

Total money earned from children :

• 2 × y = 2y

Therefore, total money = money earned from each Adult and children.

• 6x + 2y = 1200 -[2]

Now, let's plug the value of x from equation [1] into equation [2]

• 6 (240 - y) + 2y = 1200

• 1440 - 6y + 2y = 1200

• -4y = 1200 - 1440

• -4y = - 240

• y = 60

let's plug the value of y in equation [1]

• x = 240 - y

• x = 240 - 60

• x = 180

Hence, we get :

• total adults = x = 180

• total children = y = 60

Correct option is C

_____________________________

`\mathrm{ ☠ \: TeeNForeveR \: ☠}`