Answer:
Possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.
Step-by-step explanation:
Let the length of the silk fiber = x yards.
Let the number of silk fibres = a.
It is given that the silk fibers between 3 to 10 yards are combined to form a silk thread of 300 yards.
So, we get the equation,
, where 
i.e. 
,
So, the possible values of 'a' are 3, 4, 5, 6 an 10.
Thus, the possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.
There are 6 children total, 4 of which are girls. The ratio is 2:1 girls:boys, so there will need to be twice as many pinks as there are blues. If we get 12 pinks, then there will be 6 blues. That's the biggest since that's all the pinks the florist has.
1/3x + 2 = 4/3x - 5
2 + 5 = 4/3x - 1/3x
7 = x
y = 1/3(7) + 2
y = 7/3 + 2
y = 7/3 + 6/3
y = 13/3
solution is : (7,13/3) <=
Well first you want to be trying to solve for the same variable in both problems. Lets solve for Y.
This means we must make both equations say " Y="
first we subtract 12x from both sides of "12x-3y=3" which leaves us with
-3y=3-12x and y=4x-1.
you are basically going to merge the 2 problems by adding "1" to both problems and then subtracting "4x" from both as well as subtracting "y" from both. This gets rid of a variable in one problem and essentially puts in to the other in the process.
This leaves you with -4y=4-16x
Can you solve from there?
