The zurassic zoo charges $11 each for adult admissions and $4 each for each child. The total bill for the 138 people from a scho

Question

3 years ago

13

ol trip was $839. How many adults and how many children went to the zoo?

1 answer:

LenaWriter [7] · Answer 1 · 2021-12-15T02:14:31+03:00

The number of adults = 41

The number of children = 97

Step-by-step explanation:

Let x be the number of adults and

y be the number of children

then according to the given conditions

$x+y = 138\ \ \ Eqn\ 1\\11x+4y = 839\ \ \ Eqn\ 2$

From equation 1:

x = 138-y

Putting in equation 2

$11(138-y)+4y = 839\\1518-11y+4y = 839\\1518 -7y = 839\\-7y = 839-1518\\-7y = -679\\$

Dividing both sides by -7

$\frac{-7y}{-7} = \frac{-679}{-7}\\y = 97$

Putting y = 97 in equation 1

$x+ 97 = 138\\x = 138-97\\x = 41$

Hence,

The number of adults = 41

The number of children = 97

Keywords: Linear equations variables

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