Two more students like math than science
Half the number of students who like science like history.
The number of student who like reading equals the number who like math and science combined.
Two students like History.
How many children (12) like each subject
just put the words into symbols:
m = s+2
h = s/2
r = m+s
h = 2
Now start substituting
since h=2, s=4
since s=4, m=6
now we know that r = 4+6 = 10
Don't know what the (12) at the end means.
To solve this problem, let's assign variables to represent the number of students who like math, science, history, and reading.
Let's say:
- The number of students who like math is M
- The number of students who like science is S
- The number of students who like history is H
- The number of students who like reading is R
According to the given information:
1. "Two more students like math than science": This means M = S + 2.
2. "Half the number of students who like science like history": This means H = S/2.
3. "The number of students who like reading equals the number who like math and science combined": This means R = M + S.
4. "Two students like History": This means H = 2.
Now, let's solve the equations to find the number of students who like each subject:
1. From the information in point 4, we know H = 2, so substituting this into equation 2, we have 2 = S/2. Multiply both sides by 2, we get S = 4.
2. Substituting S = 4 into equation 1, we have M = 4 + 2 = 6.
3. Substituting M = 6 and S = 4 into equation 3, we have R = 6 + 4 = 10.
Therefore, we have:
- The number of students who like math (M) = 6
- The number of students who like science (S) = 4
- The number of students who like history (H) = 2
- The number of students who like reading (R) = 10