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

Kohen,

I help with the first one. You'll want two equations, one that has to do with how much the client is being charged (the money). The other is about how many of which type of lawyer is working the case (the people).

If x = # of associates and y = # of partners (# is number in old people speak)

800x + 1700y = 19300 (the money)

x + y = 14 (the people)

You could use substitution or elimination to solve the system.

Substitution:

y = 14 - x solve second equation for y

800x + 1700(14 - x) = 19300 substitute value of y in first equation

800x + 23800 - 1700x = 19300 Distribute

-900x = -4500 combine x terms on the left, subtract 23800

x = 5 divide by -900

y = 9 5 + 9 = 14

Try something similar on the second one. If you get stuck, come back here with a specific question.