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)

Question

Mathematics

Rosie

6 November, 17:27

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)

+2

Answers (1)

Know the Answer?

Darryl Mitchell · Answer 1

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