Question

When Gene and Kelly were planning their trip to Paris, one United States dollar was worth about $\frac{7}{10}$ of a euro. Before they left, they took 1,000 dollars to the bank and converted them into euros. Two weeks later, they returned home to the United States with 196 euros. To the nearest dollar, how many dollars did they bring back?

Answer 1

They brought back 280 dollars.

Explanation:

From the question, one United States dollar was worth about $\frac{7}{10}$ of a euro implies that:

$1 = 7/10 euro, or 0.70 euro. That is, the exchange rate is $1:0.70 euro.

The equivalence of the exchange $1:0.70 euro can also be obtained by dividing both sides by 0.70 as follows:

$1 / 0.7 = 0.7 / 0.7 => $1.43:1 euro. That is, $1.43 is equal to one euro.

Since they returned with 196 euros and $1.43 is equal to one euro, we will simply multiply 196 euros by $1.43 to obtain the amount of dollars they brought back as follows:

Amount of dollars they brought back = $1.43 * 196 = $280 to the nearest dollar.

Therefore, they brought back 280 dollars.

Answer 2

$280 dollars

Explanation:

When they were leaving

`\$1 \approx (7)/(10)$ Euro\\Therefore:\\\$1000 \approx (7)/(10)* 1000 =700$ Euro`

When they returned home, they brought 196 Euros.

`If\:\:\$1 \approx (7)/(10)$ Euro\\Then: 1 Euro $=\$ (10)/(7)\\\\$Therefore:\\\\196 Euros = \$ 196 * (10)/(7) =\$280`

They brought back $280 dollars to the United States.