Asked by Emmauel
They are planning to sell 75 year anniversary logo football to help raise money. an original full size logo football will sell for $22 and a miniature logo football will sell for $6. if they sell all 6000 footballs they ordered they can make $76000.
Question - how many of each type of football did they order? (solve using elimination)
Question - how many of each type of football did they order? (solve using elimination)
Answers
Answered by
Henry
X = Footballs sold @ $22 ea.
Y = Footballs sold @ $6 ea.
Eq1: x + y = 6000
Eq2: 22x + 6y = $76,000
Multiply Eq1 by -6 and add the Eqs:
-6x - 6y = -36000
22x + 6y = 76,000
Sum: 16x = 40,000
X = 2500
In Eq1, replace X with 2500:
2500 + y = 6000
Y = 6000-2500 = 3500
Y = Footballs sold @ $6 ea.
Eq1: x + y = 6000
Eq2: 22x + 6y = $76,000
Multiply Eq1 by -6 and add the Eqs:
-6x - 6y = -36000
22x + 6y = 76,000
Sum: 16x = 40,000
X = 2500
In Eq1, replace X with 2500:
2500 + y = 6000
Y = 6000-2500 = 3500
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