Quantity A: (3y+2)/5 Quantity B: y A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given..
Quantity A: (3y+2)/5 Quantity B: y A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given..
(3y+2)/5 ? y -(1)
Multiply both sides by 5
3y+2 ? 5y -(2)
collect like terms
2 ? 5y-3y -(3)
2 ? 2y -(4)
divide both sides by 2
1 ? y -(5)
(? means that we are not sure of the sign whether it is <,= or >)
To know the relationship, replace y by 1 in equation 1
(3y+2)/5 ? y
[3(1)+2]/5 ? y
5/5 ? y
1 ? y
Since we were told that y>4 therefore it means that the sign is 1 < 4
Hence y is greater than (3y+2)/5
Quantity B is greater (B)