Question 103255
2. the gym is 21 years newer than the auditorium. the gym is also one-fourth as old as the auditorium. how old is each building
G=A-21
G=1/4A
1/4A=A-21
1/4A-A=-21
-3/4A=-21
A=28
G=A-21
G=28-21
G=7

3. two numbers differ by 57. their sum is 185. find the numbers.
x-y=57
x+y=185
x=57+y
57+y+y=185
2y=185-57
2y=128
y=64
x+(64)=185
x=185-64
x=121

4. one number is four times another number. the larger number is also eighty-seven more than the smaller number. find the numbers
x=4y
x=y+87
y+87=4y
y-4y=-87
-3y=-87
y=29
x=4(29)
x=116

11. the height of a flag pole is three-fourth the height of the school. the difference in the heights is 4.5 m. what is the hieght of the school
F=3/4S
F-S=4.5
3/4S-S=4.5
1/4S=4.5
S=18
F=(3/4)18
F=13.5
:)