How much does each item cost?

Question

Today’s cafeteria specials are a turkey sandwich and a pepperoni pizza. During 1st lunch, the cafeteria sold 70 turkey sandwiches and 29 pepperoni pizzas for a total of $367. During 2nd lunch, 70 turkey sandwiches and 45 pepperoni pizzas were sold for a total of $415. 

Answer 1

Let t = price of a turkey sandwich

Let p = price of pizza.

1st Lunch

Sold 70 turkey sandwiches for $70t and 29 pizzas for $29p. The total was $367

The equation is: 70t+29p = 367

2nd Lunch

70t + 49p =415

Now solve those two equations for t and p