The ratio of the number of adults to the number of students at a field trip has to be 3:8. During a current field trip, there are 190 more students on the trip than there are adults. How many students are attending the field trip? How many adults?

Respuesta :

Given :

The ratio of the number of adults to the number of students at a field trip has to be 3:8.

During a current field trip, there are 190 more students on the trip than there are adults.

To Find :

How many students are attending the field trip? How many adults?

Solution :

Let, number of adults are x.

So, number of students are x + 190.

We know :

[tex]\dfrac{x}{x+190}=\dfrac{3}{8}\\\\8x = 3(x+190)\\\\8x -3x = 570\\\\5x = 570\\\\x = 114[/tex]

Number of students are 114 and number of adults are 114+190 = 304.

Hence, this is the required solution.

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