Question

three sandwiches were given to each adult and two sandwiches were given to each child that went on the field trip. there were 40 people on the bus and a total of 89 sandwiches were given out. how many adults and how many children were on the trip ? (PLEASE HELP)

Answer 1

the number of children on the trip=31

The number of adult=9

Explanation:

Let's call the number of adults on the trip "a" and the number of children on the trip "c".

We know that:

a + c = 40 (the total number of people on the trip)

And:

3a + 2c = 89 (the total number of sandwiches given out)

We can use the first equation to solve for one variable in terms of the other:

a = 40 - c

And substitute this into the second equation:

3(40 - c) + 2c = 89

Expanding and simplifying:

120 - 3c + 2c = 89

120 - c = 89

Subtracting 120 from both sides:

-c = -31

So c = 31, the number of children on the trip.

And the number of adults on the trip, a = 40 - c = 40 - 31 = 9.