Liza exchanged Canadian dollars for Bahraini dinar. She changed $340 into 117.80. What was the exchange rate of Canadian dollars to Bahraini dinars

Question

$1=           Dinar 

 

 

 

 

Answer 1

Hi Clo from NYC...hope you had a great day at school.
Terrific...a fractions problem and ratios to boot...every student's favorite math problem...Right?! NOT!!!

Okay...this is a great problem...the problem is requiring you to understand ratios. I'm going to give you HINTS to get started and once you get the idea, you'll be a pro at answering these kinds of problems.

We set up this problem as a ratio, keeping in mind the Algebraic Property of One. Which is...'any number over itself in a ration or fraction is ONE'!

              Example:         a/a = 1       3/3 = 1  because when we divide any number by itself, our answer, the quotient is ONE.

 

With at in mind...the problem you teacher gave you says that the Canadian amount $340 is the same as the Bahraini amount $117.80...right? Do you understand? Make sure you do. Liza got $117.80 in Bahraini money for the $340 in Canadian money. Using the Property of ONE rule...    a/a = 1     we substitute:

     Canadian money/Bahraini Money = 340/117.80 =1    Right??

 

   Now...we need to calculate for each $1 of Canadian money, how much is the same amount in Bahraini money. We set this up as a ratio.

Here is an example: think of it this way...  1/2 is the same as 10/20 or 15/30. They are different numbers, but they all equal 1/2. But what if we didn't know one of the numbers, say is we had 43 as one of the values. We need to find the equivalent.

                   We set it up like:      1 = 43

                                                  2     x

Next we multiple opposites, numerator to denominator, our equation is:

                 (1 • x)  =  (2 • 43)        

                       x  =   86

 

now substitute it back into our original equation: 

                          1 = 43
                          2    86

Using the same concept, plug it into what you already know to find the value of the Bahraini money to $1 of Canadian money. It should look like this:                          340     =     1 
                              117.80          x

Try and solve the problem. If you still have problems contact me on Wyzant. Like I said, you'll be a pro at answering these problems. Remember to make sure you include units to your answers.

 

Answer 2

$340 = 117.8 dinars      Divide both sides by 340.

$1 = .346 dinars