Problema Solution
Jonathan is charge of ordering the trophies for a school awards banquet. There are three types, which cost $17, $32, and $49. He needs to order some of each for a total of 35 trophies and a total cost of $1285. He needs 8 fewer of the $17 trophies than of the $32 trophies. How many $49 trophies does he need to order?
Answer provided by our tutors
let
x = the number of $17 trophies
y = the number of $32 trophies
z = the number of $49 trophies
He needs to order some of each for a total of 35 trophies and a total cost of $1285.
x + y + z = 35
17x + 32y + 49z = 1285
He needs 8 fewer of the $17 trophies than of the $32 trophies:
x = y - 8
by solving the system of equations:
x + y + z = 35
17x + 32y + 49z = 1285
x = y - 8
we find:
z = 15
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we need to order 15 trophies of $32.