Math

QuestionMr. Russo exchanged 200 euros for 270 dollars. How many dollars for 300 euros? Use the ratio 270200\frac{270}{200}.

Studdy Solution

STEP 1

Assumptions1. Mr. Russo exchanged200 euros for270 dollars. The exchange rate remains constant

STEP 2

First, we need to find the exchange rate from euros to dollars. We can do this by dividing the amount in dollars by the amount in euros.
Exchangerate=AmountindollarsAmountineurosExchange\, rate = \frac{Amount\, in\, dollars}{Amount\, in\, euros}

STEP 3

Now, plug in the given values for the amount in dollars and the amount in euros to calculate the exchange rate.
Exchangerate=270dollars200eurosExchange\, rate = \frac{270\, dollars}{200\, euros}

STEP 4

Calculate the exchange rate.
Exchangerate=270200=1.35dollars/euroExchange\, rate = \frac{270}{200} =1.35\, dollars/euro

STEP 5

Now that we have the exchange rate, we can find out how many dollars Mr. Russo would get for300 euros. This can be done by multiplying the amount in euros by the exchange rate.
Amountindollars=AmountineurostimesExchangerateAmount\, in\, dollars = Amount\, in\, euros \\times Exchange\, rate

STEP 6

Plug in the values for the amount in euros and the exchange rate to calculate the amount in dollars.
Amountindollars=300eurostimes1.35dollars/euroAmount\, in\, dollars =300\, euros \\times1.35\, dollars/euro

STEP 7

Calculate the amount in dollars.
Amountindollars=300times1.35=405dollarsAmount\, in\, dollars =300 \\times1.35 =405\, dollarsMr. Russo would get $405 for300 euros.

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