Algebra and Discrete Geometry

A large family wedding for the Smiths will require 113 trays of sandwiches, 116 trays of hors d' oeuvres, and 144 trays of sweets. Hands-Off caterers can make 15 trays of sandwiches, 10 trays of hors d'oeuvres, and 12 trays of sweets in one day. Hands-Free caterers can make 10 trays of sandwiches, 13 trays of hors d'oeuvres, and 14 trays of sweets in a day. Hand-Some caterers can make 12 trays of sandwiches, 15 trays of hors d'oeuvres, and 20 trays of sweets in a day. ****All three caterers are hired. How many days in advance of the wedding must each caterer begins their preperation of the food? Hint: 3 equations with 3 unknowns.

Btw, I know I need to create three equations and solve it using elimination. 1 for each caterer, x, y, and z.

oh and each will represent HOW MANY DAYS MUST EACH CATERING PARTY START TO PREPARE FOOD BEFORE THE WEDDING.

15x + 10y + 12z = 113
10x + 13y + 15z = 116
12x + 14y + 20z = 144

  1. 👍 0
  2. 👎 0
  3. 👁 137
asked by Raj

Respond to this Question

First Name

Your Response

Similar Questions

  1. MATH

    Weekly demand for eggs stocked by Waumini grocers is normally distributed. The mean is 500 trays and standard deviation is 100 trays. How many trays should be available for a week if waumini wants to ensure that the probability of

    asked by Anonymous on April 5, 2012
  2. Math

    Mrs. Lin brings 6 trays of hamburger buns to the barbecue. 2/3 of the trays have wheat buns. How many of the trays have wheat buns? Draw a diagram to solve the problem.

    asked by Dhivya on April 23, 2019
  3. Math

    Mrs. Lin brings 6 trays of hamburger buns to the barbecue. 2/3 of the trays have wheat buns. How many of the trays have wheat buns? Draw a diagram to solve the problem.

    asked by May on April 25, 2017
  4. Algebra

    There are 25 trays on a table in the cafeteria. Each tray contains a cup only, a plate only, or both a cup and a plate. If 15 of the trays contain cups and 21 of the trays contain plates, how many contain both a cup and a plate? I

    asked by Anthony on August 24, 2014
  5. Math

    24 sandwiches come on one large tray and you order 27 trays for a party and 527 people come over can each person eat more than 1? Explain.

    asked by Portia on March 8, 2012
  6. math

    x+y+3z=600 x+y+z=400 1. In the system of equations above, what is the value of x+y? 2. There are 25 trays on a table in the cafeteria. Each tray contains a cup only, a plate only, or both a cup and a plate. If 15 of the trays

    asked by Julia on June 17, 2011
  7. math

    suppose that denise had doubled the number od trays of chocolate chip and oatmeal raisin cooies she bakes.How many trays of cookies would she have baked?

    asked by jessica on February 6, 2013
  8. statistics

    Shedz processes two varieties of kiwifruit – green and gold. Constraints on daily packing are as follows: • At most, 2 000 trays can be packed in total. • At most, 1 200 trays of green can be packed. • A minimum of 200

    asked by Paul on December 1, 2008
  9. Algebra 2

    Lesson 4: Linear Programming Unit 4 Linear Systems 1. (B) 5,0 2. (A) 8,0 3. (B) 6,2 4. (C) P=6 5. (D) P=29/1/3 6. (C) C=633/1/3 7. (A) 3 trays of corn muffins and 2 trays of bran muffins 8. (C) P= 400 9. (B) C= 67,370 10. (A) P=

    asked by Becky on October 18, 2016
  10. Math

    Ms grove has trays of paint for students in her art class each tray has 5 colors one of the colors is purple what fraction of the color in 20 trays is purple

    asked by Ilisabeth on January 30, 2018

More Similar Questions