Answer:
26 math problems
16 science problems
Step-by-step explanation:
Set up equations that represent the problem:
m = # of math problems
s = # of science problems
42 = m + s
m = 10 + s
Let's make the first equation equal to m:
42 = m + s
Subtract s on both sides:
42 = m + s
-s -s
42 - s = m
We have our two equations:
42 - s = m
m = 10 + s
Set them equal to each other:
42 - s = m
m = 10 + s
42 - s = 10 + s
Add s on both sides:
42 - s = 10 + s
+s +s
42 = 10 + 2s
Subtract 10 on both sides:
42 = 10 + 2s
-10 -10
32 = 2s
Divide by 2 on both sides:
32 = 2s
/2 /2
16 = s
Therefore, the number of science problems is 16.
Let's substitute this value into one of the equations to find the number of math questions.
Use this equation:
42 = m + s
Substitute:
42 = m + s
42 = m + 16
Subtract 16 on both sides:
42 = m + 16
-16 -16
26 = m
Therefore, you have 26 math problems.
