I can't figure out how to write this problem out, so that I can solve it. Here it is: Three times a certain number is as much less than 55 as 4 times the number exceeds 50. What is the number? Can someone help me please? Thanks.
But this still gets you to
Note that you cannot allow the 'amount 3x is less than 55' and the 'amount 4x exceeds 55' to alternate in sign, as this would lead to the incorrect equations:
As the LHS's sign is not equal to the RHS's sign, this cannot be possible.
Sometimes, "baby talk" will help . . .
Three times a certain number is as much less than 55
as 4 times the number exceeds 50.
What is the number?
Let = the number.
"Three times is as much less than 55" tells us that is less than 55.
How much less?
. . The difference is: .
"Four times number exceeds 50" tells us that is greater than 50.
How much more?
. . The amount is: .
We are told that these amounts are equal.
. . There is our equation! .
Go for it!