Thread: Stressed!

3) The number of positive intergers x with x < (or equal than, don't know how to do the line under it) such that each of the rational expressions

7x+1/2 , 7x+2/3 , 7x+3/4.......7x+300/301

^ The whole thing is over 2,3,4...301.. no just the closest number btw

is in lowest terms (i.e. in each expression, the numerator and demoninator have no common factors) is..?

Hello, -DQ-!

2) In a pack of construction paper the number of blue and red sheets
are originally in the ratio 2:7.
Each day, a gril uses 1 blue and 3 red sheets.
One day she uses 3 red sheets and the last blue sheet.
At this time there are 15 red remaining.
How many sheets of paper were in the pack originally?

Let = number of blue sheets.
Let = number of red sheets.
. . Hence, the pack contains sheets.

During the next days, she takes blue and red sheets.

Then the number of remaining sheets are: .

But we are told that the remaining sheets are: .

We have a system of equations: .

. . with the solution: .


Therefore, there were: . sheets originally.

Aww I get it! Stupid Me! the remaining one is the only one I ahven't gotten any thoughts?

Hello, -DQ-!

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