SOLUTION: 1. Twice the difference of a number and seven is equal to five times the number plus one. Find the number. 2. Bob makes one and one half times as much money as Tom. If the total o

Question 99668: 1. Twice the difference of a number and seven is equal to five times the number plus one. Find the number.
2. Bob makes one and one half times as much money as Tom. If the total of their salaries is $100,000., find the salary of each.
3. The flag of Kuwait contains an isosceles trapezoid. Two of the trapezoid's four angles are the same measure and the other two are the same. Each of the larger two angles are three times each of the smaller angles. The sum of the angles in a trapezoid is 360 degrees. Find the measure of each angle.
4. Two angles are complementary. The second angle is six less than three times the first. Find the two angles.

Answer by anjali_yamini(27) (Show Source): You can put this solution on YOUR website!
1) LET THE NUMBER = X
SO, TWICE THE DIFFERENCE OF THE NUMBER AND 7 = 2(X-7)
AND 5 TIMES THE NUMBER = 5X
SO, 5 TIMES THE NUMBER INCREASED BY 1 = 5X+1
SINCE THEY ARE EQUAL,
2(X-7)= 5X+1
OR, 2X-14= 5X+1
OR, 2X-5X = 1+14
OR, -3X = 15
OR, X= - 15/3
OR, X= -5

CHECK :
2(X-7)
= 2*(-5-7)
= -10-14
= -24

5X+1
= 5(-5)+1
= -25+1
= -24
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