Notepads and markers

[madboy]

At a certain store , each notepad costs x dollars and each marker costs y dollars. If $10 is enough to by 5 notepads and 3 markers, is $10 enough to by 4 notepads and 4 markers instead?
1. Each notepad costs less than $1
2. $10 is enough to by 11 notepads.

[mitzi]

first of all, this is YES or No question.

we need to know each price of notepad and marker.

then we can re-write the given stem into 10=5x + 3(x-1)

1) 10 = 5x + 3x -3
10 = 8x -3
13 = 8x
13/8 = x ---> the price of notepad.

since we know the price of notepad, we can calculate the number of markers. ---> sufficient.

2) $10/11 --> the price of note pad.
so we can get the unit price of marker. ---> sufficient to answer Yes or No.

IMO is D.

[socker121314]

IMO B

[CyberSpy]

D it is.
Let x be cost of a note pad and y be a cost of a marker.

10>5x+3y -> eqn 1
1) Let x and y be equal to .99 which is less than 1 then 4x+4y<10 ->Sufficient.

2) 10>11x.

x< .9

Sub x=.8 in eqn 1

10> 4+3y

y<2

Sub x=.8 and y=1 in 4x+4y <10 -> Sufficient

[Fiver]

duplicate post. Refer to the above.

[Fiver]

The question says $10 is enough to buy 5 notepads and 3 markers.
Therefore given that: 10 >= 5x+3y
St1] Since each notepad costs less than $1, the max cost of 5 notepads is $5. Let's assume that the total cost of 5N & 3M is $6. In this case the approx cost of 1 marker becomes 33 cents. In this case we can reduce 1 N and increase 1M, ensuring that the total cost does not go beyond $10. However if the total cost is $10 and the cost of 1N is 20 cents and the cost of 1M is $3. Then it is not possible. Hence insuff.

St2] Says the same thing as st1: x<1. Hence insuff.
My answer is E.

[abhasjha]

IMO - E

This one is from Gprep . The OA is E too . here goes the explanation ......

let's just consider EXTREME cases:
(a) make the markers really expensive
- let's make notepads cost a penny each (which definitely satisfies both criteria), and make markers $3 each. then $10 is not enough for four of each.
(b) make everything really cheap
- if everything costs a penny, then $10 will buy you whatever you want.

so E

[mitzi]

A is insufficient because of "less than"
My previous algebraic expression is incorrect

[clock60]

my vote for E
if 5x+3y<10 is 4x+4y<10 or is 2x+2y<5
(1) x<1, 5*1+3y<10, 3y<5, y<5/3
2*1+2*(5/3)=16/3=5 1/3
so 2x+2y<5 1/3 for sure but nor exactly less then 5 insufficient
(2) 11*x=10, x=10/11
5*(10/11)+3*y<10, 3y<10-50/11, y<20/11
2*(10/11)+2*(20/11)=60/11=5 5/11
so 2x+2y<5 5/11 but not exactly less than 5 insufficient
so E

[madboy]

Thanks guys..OA is E