Can someone please solve these

Question

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1700. The law firm assigned a total of 14 lawyers to the case and was able to charge the client $19300 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.

And this one as well

Jordan and his children went into a restaurant and he bought $26 worth of drinks and tacos. Each drink costs $2.50 and each taco costs $2. He bought 4 more tacos than drinks. Write a system of equations that could be used to determine the number of drinks and the number of tacos that Jordan bought. Define the variables that you use to write the system.

Let=

Let=

System of equations

-----------------

-----------------

Answer 1

Answer: Associates 5, Partners 9

Step-by-step explanation:

Let the number of associates be x while partners be y. Since they are a total of 14 then

x+y=14

Therefore, x=14-y

Also considering the charges then:

800x + 1700y = 19300

Substituting x with 14-y then

800(14-y) + 1700y = 19300

11200 - 800y + 1700y = 19300

900y = 8100

y = 9

Now using substitution:

x=14-y

x=14-(9)

x=5

Second Part:

The system of equations that could be used to determine the number of drinks and the number of tacos that Jordan bought are 2.5x + 2y = 26 and y = x + 4.

The cost of drinks = 2.50x

Cost of tacos = 2y

Total cost 2.5x + 2y

2.5x + 2y = 26

He bought 4 more tacos than drinks.

y = x + 4.

So "The system of equations that could be used to determine the number of drinks and the number of tacos that Jordan bought are 2.5x + 2y = 26 and y = x + 4".

Answer 2

Law Question:

Let's first represent each lawyers' daily rates with a variable.

If x represents the number of associates and an associate makes $800 per day, then the expression 800x represents an associate's daily rate. If y represents the number of partners and a partner makes $1700 per day, then the expression 1700y represents a partner's daily rate.

The total that the client pays per day for a set of lawyers (that includes both partners and associates) is $19300. To represent the total amount being paid by the client:

800x + 1700y = 19300

There are a total of 14 lawyers. To represent the number of associates and partners:

x + y = 14

Thus creating a system of equations. To solve:

800(x + y) = 800 (14) becomes 800x + 800y = 11200

Subtract the two equations:

800x + 1700y = 19300

- 800x + 800y = 11200

----------------------------------

900y = 8100

y = 9

Substitute y = 9 into equation:

x + (9) = 14

x = 5

Answer: 5 associates, 9 partners