Question

Jim and Ciji Shaw must pay $.82 per $100 of coverage on their home which is insured for $80,000. How much is their annual insurance premium?

Answer 1

you could use a ratio:
\[ \frac{0.82}{100} = \frac{x}{80000} \]
to solve for x, multiply both sides by 80000

Answer 2

So would you get 100x=65600?

Answer 3

yes, if you cross multiply you get
100 x= 0.82 * 80000
100 x = 65600

to get x by itself, you have to divide both sides by 100
\[ \frac{100 x}{100} = \frac{65600}{100} \]
x= 656

the annual insurance premium is $656

Answer 4

notice you can get to the answer more quickly if you multiply both sides by 80000:
\[ \frac{0.82}{100} = \frac{x}{80000} \\ \frac{0.82\cdot 80000}{100} = \frac{x\cdot 80000
}{80000} \\\frac{0.82\cdot 80000}{100} =x \]
if you simplify the left side you will get 656.