Assume that at the current exchange rate, the british pound is worth $1.65 in american dollars. you have some dollar bills and several british pound coins. there are 17 items altogether, which have a total value of $18.30 in american dollars. how many american dollars and how many british pound coins do you have?

Question

Esteban Bowers

Mathematics

24 November, 09:54

Assume that at the current exchange rate, the british pound is worth $1.65 in american dollars. you have some dollar bills and several british pound coins. there are 17 items altogether, which have a total value of $18.30 in american dollars. how many american dollars and how many british pound coins do you have?

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Answers (1)

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Patricia Kim · Answer 1

The first thing we must do for this case is to define variables.

We have then:

x = british pound

y = dollar bills

We have the following system of equations:

x + y = 17

1.65x + y = 18.30

Resolving we have:

x = 2

y = 15

Answer:

you have:

american dollars = 15 items

british pound coins = 2 items