A caterer's total cost for catering a party includes a fixed cost, which is the same for every party. ln addition the caterer charges a certain amount...
Using Linear Systems to Solve Problems Use a system of equations to solve each problem.
1.
Kerry asked a bank teller to cash a $390 check using $20 bills and $50 bills. lf the teller gave her a total of 15 bills, how many of each type of bill did she receive?
answer:
2.
A financial planner wants to invest $8000, some in stocks earning 15% annually and the rest in bonds earning 6% annually. How much should be invested at each rate to get a return of $930 annually from the two investments?
answer:
3. A caterer's total cost for catering a party includes a fixed cost, which is the same for every party. ln addition the caterer charges a certain amount for each guest. lf it costs $300 to serve 25 guests and $420 to serve 40 guests, find the cost per guest.
answer:
4.
You and several of your friends are helping your aunt move. At lunch you volunteer to go out and buy sandwiches. You get 6 chicken sandwiches and 6 beef sandwiches for $30. Later in the afternoon, everyone is hungry again. You go to the same store and buy 4 chicken sandwiches and 8 beef sandwiches for $30.60. What was the price of the chicken sandwich?
answer:
some single and some doubles. The singles costs $69 per night and the doubles cost $85 per night. Because of a math teacher's convention, allthe hotel rooms are occupied. The sales for this night are $21,076. How many singles rooms are there
5. A hotel has 260 rooms -
answer: and football cards. Your uncle has an old collection of 360 cards that he gives to you. The collection has more baseball cards than football cards. ln fact it has 30 more than twice the number of football cards. How many of each are in your uncles collection?
6. you collect baseball
answer: Mark has $4.95 in quarters and dimes. He has 3 times as many dimes as quarters. Wf icfr system of equations can be used to find g, the number of quarters, and d, the number of dimes, that Mark has?
_7.
A. d=q+3
B. d=q+3
C. d=3q
D.q=3d
0.10q + 0.25d = 4.95 0.25q + O.'10d =
4.95
0.25q + 0.10d = 4.95
0'25q + 0'10d = 4.95
E. 9+d=3
0.25q + 0.10d = 4.95
At a local bank Wanda received $10 bills and $20 bills in exchange for $100 bill. She received a total of 8 bills. How many $10 bills did she receive?
