162 is not a perfect square therefore you have to find the largest perfect square that can go into 162 which would be 81.
Amy: x skirts
Betty: 2x skirts
Carol: (2x) + 7 skirts
If Amy has 18 less than Carol, than Carol's equation minus 18 equals Amy's equation:
[(2x) + 7] - 18 = x
+18 +18
(2x) + 7 = x + 18
- 7 -7
2x = x + 11
-x -x
x = 11
Input the solution for x into the girls equation to double check.
Amy: 11
Betty: 2(x)
2(11)
=22
Carol: (2x) + 7
22 + 7
=29
Does Amy have 18 less than Carol?
Carol - Amy = 18
29 - 11 = 18
18 = 18
the problem is solved
M/2 - 5 + 3 = 2
Put each term in m/2 - 5 + 3 over the common denominator 2: m/2 - 5 + 3 = m/2 - 10/2 + 6/2:
m/2 - 10/2 + 6/2 = 2
m/2 - 10/2 + 6/2 = (m - 10 + 6)/2:
(m - 10 + 6)/2 = 2
Subtract like terms. 6 - 10 = -4:
(m - 4)/2 = 2
Multiply both sides of (m - 4)/2 = 2 by 2:
(2 (m - 4))/2 = 2×2
(2 (m - 4))/2 = 2/2×(m - 4) = m - 4:
m - 4 = 2×2
2×2 = 4:
m - 4 = 4
Add 4 to both sides:
m + (4 - 4) = 4 + 4
4 - 4 = 0:
m = 4 + 4
4 + 4 = 8:
Answer: m = 8