The Jurassic Zoo charges $13 for each adult admission and $4 for each child . The total bill for the 238 people from a school trip was $1330. How many adults and how many children went to the zoo ?

The number of adults is 42.

The number of children is 196.

Step-by-step explanation:

Let 'x' be the number of adults.

Let 'y' be the number of children.

The equations are,

x+y = 238   (1)

13x + 4y = 1330   (2)

Multiply eq(1) by 4 and subtract eq(2) from eq(1)

  4x+4y = 952

-(13x+4y = 1330)

 -9x      = -378

x = 378/9

x = 42

∴ The number of adults = 42

Substitute x=42 in eq(1)

42+y = 238

y = 238-42

y = 196

∴ The number of children = 196

(-5,-28)

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