Question

the deli sells 3 times as many tuna sandwiches in one month as roast beef. How many more tuna sandwiches were sold than roast beef in 5 months. explain.

Answer 1

Answer:

twice the total number of Roast Beef sandwiches the deli sold in the 5 months

Step-by-step explanation:

Define Rb1, Rb2, Rb3, Rb4, Rb5 as

Rb1 = # of roast beef sandwiches the deli sold in month 1

Rb2 = # of roast beef sandwiches the deli sold in month 2

Rb3 = # of roast beef sandwiches the deli sold in month 3

Rb4 = # of roast beef sandwiches the deli sold in month 4

Rb5 = # of roast beef sandwiches the deli sold in month 5

Then,

# of tuna sandwiches sold in month 1 = 3 Rb1,

# of tuna sandwiches sold in month 2 = 3 Rb2,

# of tuna sandwiches sold in month 3 = 3 Rb3,

# of tuna sandwiches sold in month 4 = 3 Rb4,

# of tuna sandwiches sold in month 5 = 3 Rb5.

The deli sold

(3 Rb1 + 3 Rb2 + 3 Rb3 + 3 Rb4 + 3 Rb5) - (Rb1 + Rb2 + Rb3 + Rb4 + Rb5)  =

2 Rb1 + 2 Rb2 + 2 Rb3 + 2 Rb4 + 2 Rb5 =

2 (Rb1 + Rb2 + Rb3 + Rb4 + Rb5) =

twice the total number of Roast Beef sandwiches the deli sold in the 5 months