Question 1111848
let j = no. of students who go to Japan
let e = no. to Egypt
let I = no. to Italy
:
Write an equation for each statement
:
Twenty-Five students will go to one the countries: Japan, Egypt, and Italy
j + e + i = 25
:
The number of students going to Japan or Italy is five more than the number of students going to Egypt.
j + i = e + 5
j - e + i = 5
:
Use elimination with these two equation
j + e + i = 25
j - e + i = 5
------------------Subtraction eliminates j and i, find e
0 + 2e + 0 = 20
e = 20/2
e = 10 going to Egypt
:
 The number of students going to Japan is two less than the number going Egypt.
j = e -2
replace e with 10
j = 10 - 2
j = 8 going to Japan
:
Find i using the 1st equation, replacing e and j
8 + 10 + i = 25
i = 25 - 18
i = 7 going to Italy
:
Check solutions in the statement
"The number of students going to Japan or Italy is five more than the number of students going to Egypt."
8 + 7 = 10 + 5
:
 How many students are going to each country?
 Japan: 8
 Egypt: 10
 Italy: 7