Acompany has a $150 budget to provide lunch for its 20 employees. the options are to provide either roast beef sandwiches, which cost $5 apiece, or tuna sandwiches, which also cost $5 apiece. the company also wants to use the entire budget. suppose r represents the number of roast beef sandwiches it provides and t represents the number of tuna sandwiches. which statement is correct?
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 minus t = 20 and 5 r + 5 t = 150.
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.
the company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r minus t = 20 and 5 r + 5 t = 150.
the company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r + t = 20 and 5 r + 5 t = 150.
mark this and return

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.

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.