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Demonstrates typical 'system of equations' word problems, including 'mixture' exercises and finding the equation of a parabola from three points.

Solve word problems by modeling them into a system of equations and solving it.

Supply of food and medication for the dogs and cats at a local shelter.The food and medication for each dog costs twice as much as those.For a cat. she needs to feed 164 cats and 24.How much does it cost to slide on the water slide?

2. the lakers scored a total of 80 points in a basketball game against the bulls. the lakers made a total of 37 two-point and three-point baskets. how many two-point shots did the lakers make? how many three-point shots did the lakers make?1. an exam worth 145 points contains 50 questions. some of the questions are worth two points and some are worth five points. how many two point questions are on the test? how many five point questions are on the test?Now that you studied the examples for solving system of equations word problems, i know you are anxious to try some on your own! so, let's do it!Directions: solve each problem using a system of equations. click here if you need to refer back to the example problems.

Systems of Equations Word Problems Date_____ Period____ 1) Find the value of two numbers if their sum is 12

Interest. here's how it works. suppose you invest 0 (the principal) in an account which pays simple interest. at the end of one interest period,Silver with an alloy containing silver to make 100 pounds of an alloy with silver. how many pounds of each kind of alloy did she.The total value of the coins (880) is the value of the pennies plus the value of the nickels. so i add the first.Period, the interest earned by the account exceeds the interest earned by the account by . how much was invested in each.

Thanks for writing! good problem! if you let x = lbs of chicken you can buy and y = amount of steak you can buy, you get 1.29x + 3.49y = 100. solve for y to get the function: y = 100/3.49 – (1.29/3.49)x. the slope is -1.29/3.49, or about -.37. it’s negative, so the positive amount of the slope would represent how much less steak (lbs) you could buy if you were to buy 1 more lb of chicken. you also have to remember that the domain (how much chicken you can buy) has to start at 0 and end at around 77.52, so you don’t have negative amounts of chicken or steak. i could see that by graphing the function. for the steak, you can buy 0 lbs up to about 28.65 (the y intercept). does this make sense? can you see how to graph it? lisa.Thanks for writing! this is a tricky one; what i did for a) was to find out how many grams of cashews there were to begin with (.3 x 500 = 150 g. cashews out of 500g). then i set up a table and came up with the following formula: 150 + x = .4(500 + x), and got about 83.3 grams of cashews to add to the 150g to get to about 233.3g (out of a total 583.3). i also see that originally there were 100g of almonds (20% of 500g) and 250g of peanuts (50% of 500g). so after adding the 83.3g of cashews, we’d have 100/583.3=17.1438% of almonds and 250/583.3g of peanuts or 42.859%. add up all the percentages now and you get 100% – yeah!I am a grandmother with a grandson in the 9th grade taking coordinated algebra. i try to teach myself what he is learning so that i can review the concepts with him. i have been jumping from one website to another trying to relearn this math that i took in 1961. i just came upon your website and found it extremely helpful. you provide a comprehensive coverage of each unit through all of the areas in the unit and through step by step explanation on how to sample solve problems. thank you for your great work. he will be taking analytic geometry next school year and i will be studying your course during the summer. again thanks.The financial manager of a company has ,000 to invest in low-risk, medium-risk, and high-risk stocks. the amount invested in low-risk stocks, will be at most 00 more than the amount invested in medium-risk stocks. at least ,000 will be invested in low-risk and medium-risk stocks. no more than ,000 can be invested in medium risk and high-risk stocks. the expected yields on the stocks are 6% for low-risk, 7% for medium-risk, and 8% for high-risk. the financial manager will choose the amount to invest in each type of stock in order to maximize the yield on the company’s investment.

http://www.greenemath.com/ In this video, we demonstrate how to setup and solve a word problem that involves a system of linear equations.

Lesson Solving word problems using linear (Solving word problems using linear systems of Using linear

Sal solves a word problem about the price of apples and oranges by creating a system of equations and solving it.