Liza's cousin Marie bought her a ring for 250 euros in France. Liza wants to pay Marie for it in U.S. dollars. If the foreign exchange rate between the U.S. dollar and euro is 1:0.6, how much should Liza pay Marie?

Respuesta :

Answer:

$416.67

Step-by-step explanation:

The conversion rate is 1 dollar to every 0.6 euros.

This gives us the ratio 1/0.6.

Setting up the ratio for the cost of the ring, we have x/250.  This gives us the proportion:

1/0.6 = x/250

Cross multiplying,

1(250) = 0.6(x)

250 = 0.6x

Divide both sides by 0.6:

250/0.6 = 0.6x/0.6

416.67 = x

Liza should pay 416.67 U.S. dollars to Marie.

Given that,

Liza's cousin Marie bought her a ring for 250 euros in France.

Liza wants to pay Marie for it in U.S. dollars.

If the foreign exchange rate between the U.S. dollar and euro is 1:0.6.

We have to determine,

How much should Liza pay Marie?

According to the question,

The exchange rate between the U.S. dollar and euro is given as;

Exchange rate = 1:0.6

Then,

[tex]= \rm \dfrac{1 \ U.S. \ dollar}{1 \ euro}\\\\= 0.6[/tex]

Cross-multiplying both sides,

[tex]\rm 1 \times 1 \ U.S.\ dollar = 0.6 \times 1 \ euro\\\\1 \ U.S. \ dollar = 0.6 \ euro[/tex]

Multiplying both sides by 10,

[tex]= \rm 10 \ U.S. \ dollar = 0.6 \times 10 \ euro\\\\= 10 \ U.S.\ dollar = 6 \euro[/tex]

Dividing both sides by 6,

[tex]\rm \dfrac{10 \ U.S. \ dollar}{6} = \dfrac{6 euro}{6}\\\\ \dfrac{10}{6} \ U.S. \ dollar = 1 \ euro\\\\ 1 \ euro = \dfrac{10}{6}\ U.S. \ dollar[/tex]

Therefore,

The ring was bought for 250 euros is,

[tex]\rm 250 \times 1 \ euro = 250 \times \dfrac{10}{6} \ U.S. \ dollar\\\\ 250 \ euro = 416.67 \ U.S. \ dollar[/tex]

Hence, Liza should pay 416.67 U.S. dollars to Marie.

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https://brainly.com/question/1711916