Cynthia is at a football game and collected $20 from her friends to buy chips and powerades. Chips cost $2 each and powerades cost $2.50 each. She needs to buy at least one bag of chips and at least one powerade. Write a system of inequalities to represent this situation1/ What is one possible combination of chips and powerade she could buy? Enter your answer as an ordered pair (number of bags of chips, number of powerades) 18

Cynthia is at a football game and collected $20 from her friends to buy chips and powerades. Chips cost $2 each and powerades cost $2.50 each. She needs to buy at least one bag of chips and at least one powerade. Write a system of inequalities to represent this situation1/ What is one possible combination of chips and powerade she could buy? Enter your answer as an ordered pair (number of bags of chips, number of powerades) 18

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter6: Systems Of Linear Equations And Inequalities

Section6.6: Systems Of Inequalities

Problem 44PFA

See similar textbooks

Similar questions

In the following exercises, translate to a system of inequalities and solve. 319. Jake does not want to spend more than $50 on bags of fertilizer and peat moss for his garden. Fertilizer costs $2 a bag and peat moss costs $5 a bag. Jake’s van can hold at most 20 bags. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Can he buy 15 bags of fertilizer and 4 bags of peat moss? (d) Can he buy 10 bags of fertilizer and 10 bags of peat moss?
In the following exercises, translate to a system of inequalities and solve. 316. Jake does not want to spend more than $50 onbags of fertilizer and peat moss for his garden.Fertilizer costs $2 a bag and peat moss costs $5 a bag. Jake’s van can hold at most 20 bags. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Can he buy 15 bags of fertilizer and 4 bags of peat moss? (d) Can he buy 10 bags of fertilizer and 10 bags of peat moss?
In the following exercises, translate to a system of inequalities and solve. 319. Jocelyn is pregnant and needs to eat at least 500 more calories a day than usual. When buying groceries one day with a budget of $15 for the extra food, she buys bananas that have 90 calories each and chocolate granola bars that have 150 calories each. The bananas cost $0.35 each and the granola bars cost $2.50 each. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could she buy 5 bananas and 6 granola bars? (d) Could she buy 3 bananas and 4 granola bars?
In the following exercises, translate to a system of inequalities and solve. 321. Jocelyn desires to increase both her protein consumption and caloric intake. She desires to have at least 35 more grams of protein each day and no more than an additional 200 calories daily. An ounce of cheddar cheese has 7 grams of protein and 110 calories. An ounce of parmesan cheese has 11 grams of protein and 22 calories. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could she eat 1 ounce of cheddar cheese and 3 ounces of parmesan cheese? (d) Could she eat 2 ounces of cheddar cheese and 1 ounce of parmesan cheese?
Tickets for an American Baseball League game for 3 adults and 3 children cost less than $75, while tickets for 2 adults and 4 children cost less than $62. (a) Write a system of inequalities to model this problem. (b) Graph the system. (c) Could the tickets cost $20 for adults and $8 for children? (d) Could the tickets cost $15 for adults and $5 for children?
In the following exercises, translate to a system of inequalities and solve. 322. Mark is increasing his exercise routine by running and walking at least 4 miles each day. His goal is to burn a minimum of 1,500 calories from this exercise. Walking burns 270 calories/mile and running burns 650 calories. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could he meet his goal by walking 3 miles and running 1 mile? (d) Could he meet his goal by walking 2 miles and running 2 mile?
In the following exercises, translate to a system of inequalities and solve. 406. Annie has a budget of $600 to purchase paperback books and hardcover books for her classroom. She wants the number of hardcover to be at least 5 more than three times the number of paperback books. Paperback books cost $4 each and hardcover books cost $15 each. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Can she buy 8 paperback books and 40 hardcover books? (d) Can she buy 10 paperback books and 37 hardcover books?
In the following exercises, translate to a system of inequalities and solve. 325. Mark is increasing his exercise routine by running and walking at least 4 miles each day. His goal is to burn a minimum of 1500 calories from this exercise. Walking burns 270 calories/mile and running burns 650 calories. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could he meet his goal by walking 3 miles and running 1 mile? (d) Could he his goal by walking 2 miles and running 2 mile
In the following exercises, translate to a system of inequalities and solve. 390. Annie has a budget of $600 to purchase paperback books and hardcover books for her classroom. She wants the number of hardcover to be at least 5 more than three times the number of paperback books. Paperback books cost $4 each and hardcover books cost $15 each. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Can she buy 10 paperback books and 37 hardcover books?
In the following exercises, translate to a system of inequalities and solve. 405. Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Should she display 26 bracelets and 14 necklaces? (d) Should she display 39 bracelets and 1 necklace?
In the following exercises, translate to a system of inequalities and solve. 318. Caitlyn sells her drawings at the county fair. She wants to sell at least 60 drawings and has portraits and landscapes. She sells the portraits for $15 and the landscapes for $10. She needs to sell at least $800 worth of drawings in order to earn a profit. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Will she make a profit if she sells 20 portraits and 35 landscapes? (d) Will she make a profit if she sells 50 portraits and 20 landscapes?
Mary needs to purchase supplies of answer sheets and pencils for a standardized test to be given to the juniors at her high school. The number of the answer sheets needed is at least 5 more than the number of pencils. The pencils cost $2 and the answer sheets cost $1. Mary’s budget for these supplies allows for a maximum cost of $400. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could Mary purchase 100 pencils and 100 answer sheets? (d) Could Mary purchase 150 pencils and 150 answer sheets?