Question

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?

20x

20(22) 20(22 - x)

Answer 1

20(22-10x)

Explanation:

Answer 2

a] The expression of the number of $20 will found as follows:
given that the number of $10 is x,
The total number of denominations is 22, then the number of $20 will be given by the equation:
22-x

b] The total number of each denomination will be evaluated as follows:
total amount of money will be given by the equation:
10*x+20(22-x)=300
solving for x:
10x+440-20x=300
10x-20x=300-440
-10x=-140
thus
x=-140/(-10)
x=14
thus the number of $10 denominations was 14 and the number of $20 denominations was 22-14=8