Answered

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The students at Harlem East are going on a field trip. There are two options for the trip. The school can go to Jump On In and pay $13.00 per person • The school can go to The Metropolitan Museum and pay $16.00 per person, except the teachers were able to attend the trip for free. There are 684 people attending the field trip. There are 25 children in a class and 3 teachers go with each class. Which field trip will the school spend less money on? What is the difference in price?

Sagot :

EXPLANATION

Let's see the facts:

Option 1:

School -----> Jump On In--> $13/person

Option 2:

School ----> Metropolitan Museum ---> $16/person, except teachers

Distribution:

Number of people attending the field trip --> 684

Number of children in a class --> 25 children

Number of teachers with each class --> 3

With this distribution, we can consider the two situations:

1st situation --> Jump On In

$13/person x 684 person = $8,892

2nd situation --> Metropolitan Museum -->

Let's call x to the number of children and y to the number of teachers.

The number of children + teachers is as follows:

(1) x + y = 684

So, we don't know the total number of childrens and teachers but we know that the teachers don't pay anything.

So, we need to distribute 684 by 25 and 3:

25 + 3 = 28 persons by class

Supposing that there are 28 persons by class, in this case we have approximately 24 classes.

So, we have 24classes * 25 childrens = 600 childrens approximately

Finally, multiplying 600 childrens by the cost(teachers don't pay anything) give us the total bill:

600 childrens x $16 = $9,600

Answer: the field trip that will spend less money is the First Trip (Jump In On)

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