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STatiana [176]
3 years ago
6

A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a cer

tain day, total sales were $900, and 350 people attended the fair. How many children attended the fair that day? 80 children 150 children 200 children 320 children
Mathematics
2 answers:
natka813 [3]3 years ago
8 0

Answer:

B. 150 children

Step-by-step explanation:

Let, number of children  = x and number of adults = y.

Since, total number of people attended the fair are 350.

So, x + y = 350.

Moreover, charges per child is $2 and adult is $3.

As, total sales are given to be $900.

So, 2x + 3y = 900

Thus, we get the system of equations,

2x + 3y = 900

x + y = 350

We will now solve the equations,

x + y = 350 ⇒ y = 350 - x

So, 2x + 3y = 900 ⇒ 2x + 3(350 -x) = 900 ⇒ 2x + 1050 - 3x = 900 ⇒ -x = -150 ⇒ x = 150.

Then, y = 350 - x ⇒ y = 350 - 150 ⇒ y = 200.

Hence, number of children and adults that attended the fair are 150 and 200 respectively.

Ymorist [56]3 years ago
7 0
It should be 150 children.
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