There were a total of 107 students and chaperones on a field trip to the museum. If the number of chaperones was thirteen less than seven times the number of students, what is the number of students?

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Answer 1 · 2018-05-09T02:54:58

There are #92# chaperones and #15# students.

So I'll set up an equation to help solve this, with #s# for students and #c# for chaperones.

#c=7s-13#
#s+c=107#
#s+(7s-13)=107#

The bottom equation is essentially saying that students plus chaperones (which equals 13 less than 7 times the number of students) equals 107 people.

You can remove the parentheses from this equation:

#s+7s-13=107#

And combine like terms:

#8s=120#

And divide both sides by #8#:

#(8s)/8=120/8#

To get:

#s=15#

Because #c=7s-13#, you can plug in #15# in for #s# to get:

#c=7(15)-13#
#c=105-13#
#c=92#

And to double check:

#92+15=107#

Meaning that there are #92# chaperones and #15# students. Not sure why there are so many chaperones for so few students, but there we are.