phoenix9801 wrote:101- Material A costs $3 per kilogram, and Material B costs $5 per kilogram. If 10 Kilograms of Material K consists of x kilograms of Material A and y kilograms of Materials B, is x > y?


(1) y > 4

(2) the cost of the 10 kilograms of Material K is less than $40


Note: Can someone explain what is the question is really asking it so confusing. Is it asking x+y = 10????? Is there to use picking Numbers and please explain in details and simplest way...

I am unable to solve both statements.
this is yes or no type of question
question says 10 kg of material k=x kg of A+y kg of B i.e 10=x+y ...eq 1
cost of K=3*x+5*y .... eq 2
we know cost of A=3 and cost of B=5
we need to know quantity of A and B


statement 1)y>4
tis doesnt help much because y can be 5 in that case x will be 5 and thus x is not > then y
y can be 4.5 in that case x will be 5.5 so in this x>y so we have yes and no both
so staement 1 is insufficient on its own
statement 2)
the cost of the 10 kilograms of Material K is less than $40
so using eq 2 we will have 3x+5y<40 .....eq3
x+y=10 multiplying both side by 3 we have 3x+3y=30 replacing this value in eq3
3x+5y<40
3x+3y+2y<40
30+2y<40
so 2y<10
y<5
and we know x+y=10 so X will always be greater than 5 and thus x>y
so statement 2 is sufficient
in this case if you choose A to be
.