Bob buys lunch at Chick Fil A for his friends on Tuesday. He buys 9 sandwiches and 5 drinks and pays $44 total. Ben buys lunch on Friday and pays $70 for 15 sandwiches and 7 drinks.
What is the price for a sandwich and what is the price for a drink?

A sandwich is $3.50 and the price of a drink is $2.50

Step-by-step explanation:

Create a system of equations where s is the price of a sandwich and d is the price of a drink:

9s + 5d = 44

15s + 7d = 70

Solve by elimination by multiplying the top equation by 7 and the bottom equation by -5, then adding them together:

63s + 35d = 308

-75s - 35d = -350

Add them together:

-12s = -42

s = 3.5

Then, plug in 3.5 as s into one of the equations to solve for d:

9s + 5d = 44

9(3.5) + 5d = 44

31.5 + 5d = 44

5d = 12.5

d = 2.5

So, a sandwich is $3.50 and the price of a drink is $2.50

step-by-step explanation:

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