SOLUTION: (1) determine whether this proportion is true or false? 3/8=14/32 (2) solve each proportion for the given variable x/24=8/10

Algebra ->  Proportions -> SOLUTION: (1) determine whether this proportion is true or false? 3/8=14/32 (2) solve each proportion for the given variable x/24=8/10      Log On


   

Question 34701: (1) determine whether this proportion is true or false?

3/8=14/32

(2) solve each proportion for the given variable
x/24=8/10
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+3%2F8=14%2F32+
If equal, the means will equal the extreams ... in short ... cross multiply and compare the results.
+3%2832%29+=+8%2814%29+
+96+=+112+
FALSE
So they are NOT equal


+x%2F24=8%2F10+
Reduce the fraction first (just makes it easier.)
+x%2F24=4%2F5+
Cross Multiply
+5x+=+4%2824%29+
+x+=+%284%2824%29%29%2F5+
+x+=+96%2F5+
+x+=+19.2+

Just an FYI ... normally, if a problem is in fraction form, put the answer in fraction form, too, even if it means leaving it in a "reduced" improper fraction.
As a teacher I would rather see 96/5 than 19.2 or 19 1/5
Figure out what your teacher wants, and give your answers in that form.