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In 1992, a scoop of gelato could be purchased in Italy for 1200 lire. The same gelato would have cost $1.50 in the U.S. At the equivalent exchange rate between the lire and the dollar, how many dollars would be equivalent to \(1,000,000\) lire?

 Sep 9, 2020
edited by Guest  Sep 9, 2020
edited by Guest  Sep 9, 2020
 #1
avatar+781 
+1

We have a ratio of dollars over lire- 1.5:1200.

 

In order to get to 1000000 lire, we must multiply the entire ratio by 1000000/1200=833 1/3. So we have:

 

1.5:1200

=1.5*833 1/3 : 1200 * 833 1/3

= 1250:1000000.

 

So $1250 is equivalent to 1000000 lire.

 Sep 9, 2020
 #2
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0

 

In 1992, a scoop of gelato could be purchased in Italy for 1200 lire. The same gelato would have cost $1.50 in the U.S. At the equivalent exchange rate between the lire and the dollar, how many dollars would be equivalent to 1,000,000 lire? 

 

I'll set this up as a proportion.  1.50 is to 1,200  as  X is to 1,000,000    

 

Substitute a dividing line for "is to"                          1.50                 X

and substitute an equal sign for "as"                     ––––––  =  –––––––––

                                                                               1,200         1,000,000   

 

Now do the arithmetic.  We called

it "cross multiplying" when I was in

school, a couple hundred years ago                       (1.50) • (1,000,000)  =  (1,200) • X  

 

Divide both sides by 1,200 and

put the X on the left.  You can leave                                   (1.50) • (1,000,000)  

it on the right if you want to, I just like                        X  =  ––––––––––––––––––  

it better on the left                                                                       1,200   

 

Breaking out the old calculator because I'm

to lazy to do the arithmetic manually and find             X  =  1,250  dollars, equivalent to a million lire     

.

 Sep 9, 2020
 #3
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\(\text{OMG TYSM!!!!}\)

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 Sep 9, 2020
 #4
avatar+781 
+1

You're welcome!

gwenspooner85  Sep 9, 2020
 #5
avatar+37159 
+1

Seems to me everyone so far has made this uneccessarily comlicated:

 

The amount of dollars to lire  ($ / l )  is    $ 1.5 /1200 lire

1000 000 lire  *   $1.5 / 1200 lire = $1250

 Sep 9, 2020
edited by ElectricPavlov  Sep 9, 2020
 #6
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0

 

The other side of that coin is that some people give too little explanation, or none at all. 

.

Guest Sep 10, 2020

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