Problema Solution
A traveller buys $1740 in traveler's checks in $10, $20 and $50 denominations. The number of $20 check is 2 more than 4 times the number of $10 checks, while the number of $50 checks is 4 less than twice as many as the number of $10 checks. How many traveler's checks were brought in each denomination?
Answer provided by our tutors
let
x = the number of $10 checks
y = the number of $20 checks
z = the number of $50 checks
a traveler buys $1740 in traveler's checks in $10, $20 and $50 denominations
10x + 20y + 50z = 1740
the number of $20 check is 2 more than 4 times the number of $10 checks
y = 2 + 4x
while the number of $50 checks is 4 less than twice as many as the number of $10 checks
z = 2x - 4
by solving the system of equations
10x + 20y + 50z = 1740
y = 2 + 4x
z = 2x - 4
we find
x = 10 checks of 10$ denomination
y = 42 checks of 20$ denomination
z = 16 checks of 50$ denomination
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