varun289 wrote:A sporting goods store received a shipment of baseball gloves that included 5 brown gloves for every 6 black gloves. Did the store receive at least 250 gloves in the shipment?
(1) 44% of the left-handed gloves in the shipment were black.
(2) The shipment included 84 black, right-handed gloves.
c?
IMO - C
brown/ black = 5/6
1. we don't know total no. of black glove, hence statement is NOT sufficient.
2. We don't we don't know total no. of black glove, hence statement is NOT sufficient.
combining two equation
black left handed gloves = 44% of left handed gloves
= 44/100 * X
==11/25 * X
so left handed gloves should be a multiple of 25.
so lets take 25 as total no. of left handed gloves.
black left handed gloves = 11
black right handed gloves = 84
total black gloves = 95
We need total no. black gloves to be a multiple of 6 so that total no. of brown gloves is an integer.
now the trick over here is 84 is a multiple of 6, so we need left black gloves also to be a multiple of 6.
Hence the least possible no. for left handed gloves is 150.
black left handed gloves = 66
black right handed gloves = 84
total black gloves = 150
total brown gloves = 125
total gloves = 275.
hence sufficient.
total brown gloves = some value(not an integer )
I'm no expert, just trying to work on my skills. If I've made any mistakes please bear with me.
