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help.........
For her vacation Mrs. Andrews bought $300 worth of traveler's checks in $10 and $20 denominations. If she has 22 travelers checks in all, how many of each denomination does she have?

Let x represent the number of $10 traveler's checks she has. Which expression represents the value of the $20 traveler's checks she has?

Respuesta :

Let x represent the number of $10 traveler's checks she has.
Let y represent the number of $20 traveler's checks she has.

[tex]10x+20y=300 \\x+y=22[/tex]

Solve system of equations.

[tex]y=22-x \\10x+20(22-x)=300 \\10x+440-20x=300 \\140=10x \\x=14 \\y=22-14 \\y=8[/tex]

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