Hey there!
I'm having alot of trouble with the following:
2 types of sacks
Large sacks weigh 30kg
Small sacks weigh 24kg
There are 3 times as much small sacks than there are large ones
The total weight of sacks is 714kg
How many large/small sacks are there?
All ive been able to do is
30x+24y=714
not sure how to continue
Please help
Ok,
you have labelled the large sacks "x"
and the small sacks "y"
hence y=3x is how we write "there are 3 times as many small sacks as large ones".
Whatever x is, y is 3 times that.
Now you have a choice....
(i) replace y with 3x in 30x+24y=714 to get 30x+24(3x)=714
and solve for x
(ii) solve the system of equations
3x=y
30x+24y=714
30x-10y=0
30x+24y=714
subtract the first line from the 2nd to get 34y=714
solve for y