Problema Solution
two friends made $860 during a garage sale. there are sixteen more 10 dollar bills than 50 dollar bills. five more than three times as many 20 dollar bills as 50 dollar bills. how many of each do they have
Answer provided by our tutors
let
x = the number of $10 bills
y = the number of $20 bills
z = the number of $50 bills
two friends made $860 during a garage sale
10x + 20y + 50z = 860 divide both sides by 10
x + 2y + 5z = 86
there are sixteen more 10 dollar bills than 50 dollar bills
x = z + 16
five more than three times as many 20 dollar bills as 50 dollar bills
y = 5 + 3z
by solving the system of equations
x + 2y + 5z = 86
x = z + 16
y = 5 + 3z
we find
x = 21 $10 bills
y = 20 $20 bills
z = 5 $50 bills
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