Answer: $245
Explanation:
$35 / 1/2=x / 3 1/2
Divide 35 by 1/2 by multiplying 35 by the reciprocal of 1/2.
35*2=x / 3*2+1/2
Multiply 35 and 2 to get 70.
70=x / 3*2+1/2
Divide x by 3*2+1/2 by multiplying x by the reciprocal of 3*2+1/2.
70=x*2/3*2+1
Multiply 3 and 2 to get 6.
70=x*2/6+1
Add 6 and 1 to get 7.
70=x*2/7
Swap sides so that all variable terms are on the left-hand side.
x*2/7=70
Multiply both sides by 7.
x*2=70*7
Multiply 70 and 7 to get 490.
x*2=490
Divide both sides by 2.
x=490/2
Divide 490 by 2 to get 245.
x=245