Directions:Write inequalities for the numbers 3 - 4 below. Do not solve them!
Problems:
3.Stacey and Luis volunteer at the local hospital. Stacey worked 4 more hours than Luis, and together they worked more than 28 hours. What is the least number of hours each worked?
4.Mrs. Culpepper has promised her two sons that they may go to a concert if together they save more than $45. The older son agrees to save twice as much as the younger one. How much must each save?
X/2 => 15
I would write the solution for number 4 as
OLder/2=younger=>15
The problem is the older has to be exactly twice the younger, if you read the problem statement exactly.
number 3
S=L+4
but S+L>28
or L+4+L>28 or
L>12 and S=L+4 The least number, whole number greater than 12 is L=13 and S is four more than that.
so is that the answer for number three?
&&i still don't get what you mean for #4.?!?!?!
number 4:
younger>=15 and older=2*younger
so how would i write that.?
It is the way I would write it. You ought to understand why it is written like that, if you dont, you are in trouble. Go back and read the problem to understand why it is written like that.
For problem number 3, we want to write inequalities to represent the given situation. Let's define some variables to make it easier to write the inequalities:
Let L represent the number of hours Luis worked.
Let S represent the number of hours Stacey worked.
Based on the problem, we know that Stacey worked 4 more hours than Luis. So we can write the inequality:
S = L + 4
We also know that together they worked more than 28 hours. So we can write another inequality:
L + S > 28
To find the least number of hours each worked, we need to solve these inequalities. However, we are not required to solve them in this case.
For problem number 4, let's follow a similar approach:
Let younger represent the amount of money the younger son saved.
Let older represent the amount of money the older son saved.
According to the problem, the older son agrees to save twice as much as the younger one. So we can write the inequality:
older = 2 * younger
We also know that together they must save more than $45. So we can write another inequality:
older + younger > 45
Again, to find the exact amounts each son must save, we would need to solve these inequalities. However, we are only asked to write the inequalities in this case.