Question

For a school fundraiser, Becky sold 18 Italian hoagies and 32 Turkey hoagies. She collected $222.50. If the cost of an Italian hoagies is 2.75 less than twice the cost of a

turkey hoagie, what is the price of each Italian hoagie?

Answer 1

• $5.25

Explanation:

Let the cost of the Italian hoagies is x and Turkey hoagies is y.

Set the equations:

• 18x + 32y = 222.50
• x = 2y - 2.75

Solve the system by substitution:

• 18(2y - 2.75) + 32y = 222.50
• 36y - 18*2.75 + 32y = 222.50
• 68y = 222.50 + 49.5
• 68y = 272
• y = 272 / 68
• y = 4

Find the value of x:

• x = 2*4 - 2.75 = 5.25