SOLUTION: Jim and members of his Spanish club are going to Costa Rica over spring break. Before his trip, he purchases 10 travelers checks in denominations of $20, $50, and $100, totaling $3
Question 841466: Jim and members of his Spanish club are going to Costa Rica over spring break. Before his trip, he purchases 10 travelers checks in denominations of $20, $50, and $100, totaling $370. He has twice as many $20 checks as $50 checks. How many of each type of denomination does he have? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = number of $20 checks
Let = number of $50 checks
Let = number of $100 checks
----------------------------------
(1)
(2)
(3)
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there are 3 equations and 3 unknowns,
so it's solvable
Multiply both sides of (1) by
and subtract (2) from (1)
(1)
(2)
Substitute (3) into this result
and, since
(3)
(3)
and
(1)
(1)
(1)
There are 6 $20 checks
There are 3 $50 checks
There is 1 $100 check
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check:
(2)
(2)
(2)
(2)
(2)
OK
