I hope you all are learning more and more. Somehow I caught a very bad case of flu-related bronchitis and am working very hard to get rid of it. I cannot talk but I can write.
Here's a good math problem that you should be able to solve using algebra. You do not have to use algebra but, at this point, you all should be able to. What equation can you write? Send me your solutions. I'll check back later.
If a certain number is reduced by 8 and the remainder is multiplied by 8, the result is the same when the number is reduced by 12 and the remainder multiplied by 12.
What is the number?
10 comments:
(n-8)*8=(n-12)*12
This equation is not true.
let n=2
(2-8)*8=(2-12)*12
-6*8=-10*12
-48=-120
Why does n = 2?
n = any real number
Step 1: n-8
Step 2: 8(n-8) = 8n-64
Step 1: n-12
Step 2: 12(n-12) = 12n- 144
12n - 144 = 8n - 64
12n-8n-144 = 8n-8n-64
4n-144+144 = -64+144
4n = 80
4n/4 = 80/4
n = 20
12(20) - 144 = 8(20) - 64
240 - 144 = 160 - 64
96 = 96
The solution for n that makes this equation true is 20.
let n=any real number
(n-8)8 =(n-12)12
8n-64 =12n-144
8n-8n-64=12n-8n-144
-64 =4n-144
-64+144 =4n-144+144
80 =4n
80/4 =4n/4
20=n
n=20
let x= any real number:
(n-8)*8=(n-12)*12
8n-64=12n-144
8n-64-8n=12n-144-8n
-64=4n-144
-64+144=4n-144+144
80=4n
80/4=4n/4
20=n
n=20
CHECK
(20-8)*8=(20-12)*12
12*8=8*12
96=96
20 is the number
In this problem you need to say let n = the number because you are looking for a specific number that fits the situation. Go Figure, wuwhogal, and Tommy all had the correct solution and used nice algebra procedure. What happened to Scala?
8(n-8)=12(n-12)
8n-64=12n-144
-64=4n-144
80=4n
20=n
If n = any real number:
(n-8)8 = (n-12)12
8n-64 = 12n-144
8n-8n-64 = 12n-8n-144
-64 = 4n-144
-64+144 = 4n-144+144
80 = 4n
80/4 = 4n/4
20=n
n=20
s= any real number
8(s-8)=(s-12)12
8s-64=12s-144
-64=4s-144
80=4s
20=s
We miss you too Mrs. Burke!
Let n= any real number
8(n-8)=12(n-12)
8n-64=12n-144
8n-8n+-64=12n-8n-144
-64=4n-144
(-64=4n-144)/4
-16=n+-36
-16+36=n+36+-36
20=n
Solution
N=20
Feel better Mrs. Burke!!!!!!!!
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