Question #bab68

2 Answers
Jan 18, 2018

Answer:

#26# math problems and #16# science problems.

Explanation:

Let :

  • #x =# math problems
  • #y=# science problems

So

#x+y=42#
#x=y+10#

Then substitute #y+10# in for #x# to solve for #y#:

#y+10+y=42#

#2y+10=42#

#2y=32#

#y=16#

Plug #y# into either equation to solve for #x#:

#x=16+10#

#x=26#

Jan 18, 2018

Answer:

There are #26# math problems and #16# science problems.

Explanation:

Let #x# equal the number of science problems, and #x+10# equal the number of math problems. Set their sum equal to #42#. Solve for #x#.

#x+x+10=42#

Simplify.

#2x+10=42#

Subtract #10# from both sides.

#2x+10-10=42-10#

Simplify.

#2x=32#

Divide both sides by #2#.

#x=32/2#

Simplify.

#x=16#

Number of science questions: #x=16#

Number of math questions: #x+10=16+10=26#