AbdurRakib wrote:

On a vacation,Rose exchanged $500.00 for euros at an exchange rate of 0.80 euro per dollar and spent \(\frac{3}{4}\) of the euros she received.If she exchanged the remaining euros for dollars at an exchange rate of $1.20 per euro, what was the dollar amount she received?

A) $60.00

B) $80.00

C) $100.00

D) $120.00

E) $140.00

Dear

AbdurRakib,

This is a great question! Thanks for posting it! I'm happy to respond.

Step #1She exchanges $500 for euros at 0.8 euro/dollar. Set up a proportion, where x is the number of euros she originally received

(x/$500) = (0.8 euro)/($1)

Cross-multiply and use the

doubling & halving rule:

x = 0.8*500 = 0.4*1000 = 400 euros

Step #2She spends 3/4, so after her wild days in Europe, she is left with just 100 euros.

Step #3She exchanges 100 euros back to dollars at $1.20 per euro. Again set up a proportion, where y is the number of dollars she gets back.

y/100 = $1.20/(1 euro)

Cross-multiply:

y = $1.20*100 = $120

Answer =

(D)Does all this make sense?

Mike

_________________

Mike McGarry

Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)