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Tommy can exchange 8 euros for 11 dollars.
At this rate, how many dollars can Tommy get with 12 euros?
dollars

Tommy can exchange $8$ euros for $11$ dollars. $\newline$ At this rate, how many dollars can Tommy get with $12$ euros? $\newline$ dollars

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Exponential growth and decay: word problems

Full solution

Q. Tommy can exchange

8

euros for

11

dollars.

\newline

At this rate, how many dollars can Tommy get with

12

euros?

\newline

dollars

Exchange Rate Calculation: Tommy can exchange $8$ euros for $11$ dollars. This gives us the exchange rate. $\newline$ Exchange rate = $\frac{11 \text{ dollars}}{8 \text{ euros}}$
Calculate Dollars for $12$ Euros: To find out how many dollars Tommy can get with $12$ euros, we need to use the exchange rate. $\newline$ Dollars for $12$ euros = $(\frac{11 \text{ dollars}}{8 \text{ euros}}) \times 12 \text{ euros}$
Final Amount Calculation: Now we perform the calculation: $\newline$ Dollars for $12$ euros = $(\frac{11}{8}) \times 12$ $\newline$ Dollars for $12$ euros = $1.375 \times 12$ $\newline$ Dollars for $12$ euros = $16.5$
Consideration for Whole Number: Since we cannot have half a dollar in this context, we need to consider that the actual amount Tommy can get must be a whole number. Therefore, Tommy can get $16.5 dollars, but since currency is typically not given in fractions, we would round to the nearest whole number if necessary. However, the problem does not specify the need to round, so we will leave the answer as$ $16$ . $5$ dollars.

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