Teresa has a maximum of $9000 to purchase parkas for Walt's Winter Wear. The women's parkas cost $97 each and the men's parkas cost $103 each. She will buy at least 15 more men's parkas than women's,and she will buy at least 30 men's parkas. Write the system of inequalities that describes the number of each type of parka to be purchased. (Let the x refer to the number of men's parkas and the y refer to thenumber of women's parkas.)total cost of the parkasnumber of men's parkasnumber of women's parkasnumber of men's more than women's parkas

we are given that Teresa has maximum of $9000. cost of women's parkas is $97. cost of men's parkas…

Answered: Teresa has a maximum of $9000 to…

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. 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?
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. 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. 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. 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. 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?
Translate to a system of equations and solve: Greta wants to make 5 pounds of a nut mix using peanuts and cashews. Her budget requires the mixture to cost her $6 per pound. Peanuts are $4 per pound and cashews are $9 per pound. How many pounds of peanuts and how many pounds of cashews should she use?
In the following exercises, translate to a system of inequalities and solve. 389. 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. 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. 318. Juan is studying for his final exams in Chemistry and Algebra. He knows he only has 24 hours to study, and it will take him at least three times as long to study for Algebra than Chemistry. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Can he spend 4 hours on Chemistry and 20 hours on Algebra? (d) Can he spend 6 hours on Chemistry and 18 hours on Algebra?
In the following exercises, translate to a system of inequalities and solve. 323. Mark is attempting to build muscle mass and so he needs to eat at least an additional 80 grams of protein a day. A bottle of protein water costs $3.20 and a protein bar costs $1.75. The protein water supplies 27 grams of protein and the bar supplies 16 gram. If he has $10 dollars to spend (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could he buy 3 bottles of protein water and 1 protein bar? (d) Could he buy no bottles of protein water and 5 protein bars?

SEE MORE QUESTIONS

Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Elementary Algebra

Algebra

ISBN:

9780998625713

Author:

Lynn Marecek, MaryAnne Anthony-Smith

Publisher:

OpenStax - Rice University

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Elementary Algebra

Algebra

ISBN:

9780998625713

Author:

Lynn Marecek, MaryAnne Anthony-Smith

Publisher:

OpenStax - Rice University

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

SEE MORE TEXTBOOKS