Blank divided by 7 is greater than 800
2 answers:
Answer:
The possible numbers for the blank are 5601, 8452, 93647 etc.
Step-by-step explanation:
Consider the provided information.
Blank divided by 7 is greater than 800
Let say the number should be in blank is x.
Now we need to find the value of x so that it divided by 7 gives a value greater than 800.
This can be written as:
Solve the above inequality for x.
The value of x should be greater than 5600.
We can select any number which is greater than 5600.
The possible choice for the blank are 5601, 8452, 93647 etc.
Note there are infinite number greater than 5600 so you can choose any of them.
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Answer:
33 copies were paperback and 12 were hardcover.
Step-by-step explanation:
Let h represent the number of hardcover copies and p represent the number of paperback copies.
We know that the total number of copies was 45; this gives us the equation
h+p = 45
We know that each hardcover copy is 7 ounces; this gives us the expression 7h.
We also know that each paperback copy is 5 ounces; this gives us the expression 5p.
We know that the total weight was 249 ounces; this gives us the equation
7h+5p = 249
Together we have the system
We will use elimination to solve this. First we will make the coefficients of the variable p the same; to do this, we will multiply the top equation by 5:
To eliminate p, we will subtract the equations:
Divide both sides by -2:
-2h/-2 = -24/-2
h = 12
There were 12 hardcover copies sold.
Substitute this into our first equation:
12+p=45
Subtract 12 from each side:
12+p-12 = 45-12
p = 33
There were 33 paperback copies sold.