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6 votes
3. The students of Sunshine High School are raising money to

support the sports teams. A local organization donated boxes of
popcorn and candy for the students to sell. The freshmen are selling
boxes of popcorn for $1.50 each, and the sophomores are selling
boxes of candy for $3 each. The students' target is to raise at least
$650. The sophomores expect to sell at most 95 boxes of candy. Let
x represent the number of boxes of popcorn sold and y represent
the number of boxes of candy sold. Which system of inequalities
models the given situation?
A. 1.5x +3y > 650
y < 95
B. 1.5x +3y > 650
y < 95
C.
1.5x +3y < 650
y > 95
D.
1.5x +3y > 650
y < 95

2 Answers

9 votes
I wish I could help you out here but I’m not that smart but good luck with your college class and I hope someone comes along and helps you out
User Thommy
by
3.4k points
6 votes

Answer:

  • 1.5x + 3y ≥ 650
  • y ≤ 95

Explanation:

Boxes of popcorn = x, each cost = $1.50

  • ⇒ total = 1.5x

Boxes of candy = y, each cost = $3

  • ⇒ total = 3y

Total money raised, sum of the above two:

  • 1.5x + 3y

Target is to raise at least $650:

  • 1.5x + 3y ≥ 650

The sophomores expect to sell at most 95 boxes of candy:

  • y ≤ 95

The system of inequalities:

  • 1.5x + 3y ≥ 650
  • y ≤ 95

User Raklorap
by
3.6k points