Question

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?

Answer 1

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


`10x+20y=300 \\x+y=22`

Solve system of equations.


`y=22-x \\10x+20(22-x)=300 \\10x+440-20x=300 \\140=10x \\x=14 \\y=22-14 \\y=8`