Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box cos
2 answers:
Response:
15 boxes of 10 oz were sold
Breakdown of the solution:
Let x represent the count of 10 oz boxes
and let y denote the count of 16 oz boxes
According to the problem statement:
"The overall number of boxes sold totals 24"
The associated equation will be
x + y = 24 ---------------(1)
From the statement
"she gathered $97.50 with the price of a 10 oz box being $3.50 and a 16 oz box priced at $5.00."
The correlating equation will be
3.50x + 5y = 97.50 ------------(2)
Substituting y = 24 - x into equation (1) yields
3.50x + 5(24 - x) = 97.50
3.50x + 120 - 5x = 97.50
-1.5x = 97.50 - 120
1.5x = 22.50
x =
x = 15
Thus, the count of 10 oz boxes is 15.
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