one U.S. dollar was worth 0.64 euros. if you were to exchange 126 euros on that day, how many U.S. dollars would you have received?

Question

A. $64.00

B. $80.00

C. $126.00

D. $196.00

Answer 1

$1 = E0.64            divide both sides by 0.64

$1.5625 = E1        multiply both sides by 126

$198.875 = E126

 

Or using proportions:

 

1 : 0.64 :: d : 126     product of means/extremes

0.64d = 126

d = 198.875

 

The correct answer is not given (sometimes editors of textbooks do not check the answers!).

Answer 2

I think the answer is D. Question says one U.S.dollar was worth 0.64 euros. You need to think how many times of 0.64 euro in 126 euro. That means 126/0.64=196.8... therefore I choose D. Chikae

Answer 3

Sorry, I realized I made a math mistake. Fixed:

 

1 dollar = 0.64 Euros

 

If you want to use proportions, let's think of this like a ratio.

 

1 dollar/ 0.64 Euros   =  x dollars /126 Euros 

 

multiply both sides by 126 euros

(126 Euros*1 dollar)/0.64 Euros     = x dollars

In conversion, you want to hold on to units because they can cancel out too. This helps you keep track of what unit you are using. So on the left side of the equation, you can cancel out the "Euros" on the top and bottom.

 

126/0.64 dollars = x dollars

 

x = 126/0.64 = 196.875

 

So your answer is D.