To determine the amount of euros that has the same value as 1 U.S. dollar, we can use the given conversion rate [tex]\( E = \frac{17}{20} D \)[/tex]. In this context, [tex]\( D \)[/tex] represents the U.S. dollars.
### Calculating Euros for 1 U.S. Dollar
1. Let's set [tex]\( D = 1 \)[/tex] (1 U.S. dollar).
2. Substitute [tex]\( D \)[/tex] into the equation to find [tex]\( E \)[/tex]:
[tex]\[
E = \frac{17}{20} \times D
\][/tex]
[tex]\[
E = \frac{17}{20} \times 1
\][/tex]
3. Therefore,
[tex]\[
E = 0.85
\][/tex]
So, 0.85 euros have the same value as 1 U.S. dollar.
### Calculating U.S. Dollars for 1 Euro
To find the amount of U.S. dollars that has the same value as 1 euro, we can take the inverse of the conversion rate used above:
1. We start with the initial formula for euros to U.S. dollars and rearrange it to solve for [tex]\( D \)[/tex]:
[tex]\[
D = \frac{20}{17} E
\][/tex]
2. Let's set [tex]\( E = 1 \)[/tex] (1 euro).
3. Substitute [tex]\( E \)[/tex] into the equation to find [tex]\( D \)[/tex]:
[tex]\[
D = \frac{20}{17} \times E
\][/tex]
[tex]\[
D = \frac{20}{17} \times 1
\][/tex]
4. Therefore,
[tex]\[
D \approx 1.176
\][/tex]
So, approximately 1.176 U.S. dollars have the same value as 1 euro.
Answer:
- 0.85 euros have the same value as 1 U.S. dollar.
- Approximately 1.176 U.S. dollars have the same value as 1 euro.
