Answer:
6 packs of sugar cookies and 10 packs of chocolate chip cookies.
Explanation:
Let the quantity of sugar cookies be x packs and the quantity of chocolate chip cookies be y packs. Total packs are 16. Therefore: x + y = 16. This implies y = 16 - x (Equation 1).
It is given that a pack of sugar cookies is priced at $2.5 and a pack of chocolate chip cookies is priced at $3.5. It is also given that the student spends a total of $50 on the cookies. Since x packs of sugar cookies and y packs of chocolate chip cookies are to be bought, therefore:
2.5x + 3.5y = 50 (Equation 2).
Put equation 1 in equation 2.
2.5x + 3.5(16 - x) = 50.
2.5x + 56- 3.5x = 50.
-x = -6.
x = 6.
Put x = 6 in equation 1.
y = 16 - 6.
y = 10.
Therefore, Angelina will buy 6 packs of sugar cookies and 10 packs of chocolate chip cookies!!!