Abigail Henderson has $1000 budgeted for spending money on an upcoming trip to London and Paris. The European currency is trading at $1.20 per euro, and Britiish pounds sterling are trading at $1.40 per pound. She plans to spend more time in France, so she wants to have three times as many euros as pounds. Set up and solve a system of equations to model this problem, and explain what your answer means in practical terms.

Question
Asked Oct 13, 2019

Abigail Henderson has $1000 budgeted for spending money on an upcoming trip to London and Paris. The European currency is trading at $1.20 per euro, and Britiish pounds sterling are trading at $1.40 per pound. She plans to spend more time in France, so she wants to have three times as many euros as pounds. Set up and solve a system of equations to model this problem, and explain what your answer means in practical terms.

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Expert Answer

Step 1

Given that,

$1000 budgeted for spending money on an upcoming trip to London and Paris.

The European currency is trading at $1.20 per euro, and Britiish pounds sterling are trading at $1.40 per pound.

Three times as many euros as pounds.

Now set up and solve the system of equation.

Step 2

Suppose x represent the number of euros

And y represents the number of pounds.

Step 3

Now set up the e...

Three times as many euros as pounds.
x-3y
The European currency is trading at $1.20 per euro, and Britis h pounds staring are trađing at $1.40 per pound.
1.20x+1.40y 1000
-(1)
--2)
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Three times as many euros as pounds. x-3y The European currency is trading at $1.20 per euro, and Britis h pounds staring are trađing at $1.40 per pound. 1.20x+1.40y 1000 -(1) --2)

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