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

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Answer 1

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.

// A is for associate and each associate makes 800 a day

// P is for partner and each partner makes 1700 a day

// The first thing we will do is create a system of equations

A + P = 14 // This equation says that the number of associates and number of partners equals 14

800(A) + 1700(P) = 19300 //This equation says that 800 multiplied by each associate and 1700 multiplied by each partner is equal to 19300

P = 14 - A //First we will solve for Partners in term of Associates

800(A) + 1700(14-A) = 1930 // Taking P = 14-A, then we will substitute every P for 14 - A

800A + 23800 - 1700A = 19300 // Now distribute the 800 and 1700

800A - 1700A = 19300 - 23800 // Now move the 23800 so all the terms with A are on one side

-900A = -4500 // Combine like terms

-900A/-900 = -4500/-900 // Divide each side by -900 to get A by itself

A = 5 // Find answer for Associates

P = 14 - A = 14 - 5 = 9 // Plug answer for Associates back into original equation to find Partners

They used 5 Associates and 9 Partners