Answer:
2. The company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r + t = 20 and 5 r + 5 t = 150.
Step-by-step explanation:
The total lunch budget of the company = $150
Total number of employees = 20
The cost of 1 roast beef sandwich = $5
The cost of 1 tuna sandwich = $5
r represents the number of roast beef sandwiches provided.
t represents the number of tuna sandwiches provided.
Now, consider the given statements:
Here, total number of sandwiches purchased = Total number of employees
⇒ r + t = 20 .... (1)
Also, as each type of sandwich costs $5.
So, the cost of r roast beef sandwiches = r x ( Cost of 1 beef sandwich)
= r x ( $5) = 5 r
And, the cost of t tuna sandwiches = t x ( Cost of 1 tuna sandwich)
= t x ( $5) = 5 t
Total cost of (r +t) sandwiches = Total Lunch Budget
⇒ 5 r + 5 t = 150 .... (2)
Hence, from (1) and (2) the above situation can be represented as:
r + t = 20
5 r + 5 t = 150
Hence, the company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r + t = 20 and 5 r + 5 t = 150.
