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?

Guest Sep 9, 2020

edited by
Guest
Sep 9, 2020

edited by Guest Sep 9, 2020

edited by Guest Sep 9, 2020

#1**+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.

gwenspooner85 Sep 9, 2020

#2**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

**.**

Guest Sep 9, 2020

#5**+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

ElectricPavlov Sep 9, 2020