# Need. Help with number 63 Transcribed Image Text: 64 Systems of Linear Equations; Matrices 1.95 grams of phosphorus per pound, wle

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65. Write a brief paragraph outlining your strategy for solving system of two linear equations containing two variables. 66. Do you prefer the method of substitution or the method of elimination for solving a system of two linear equations con- taining two variables? Give reasons. |

Need. Help with number 63 Transcribed Image Text: 64

Systems of Linear Equations; Matrices

1.95 grams of phosphorus per pound, wle molasses

vides 3.35 grams of calcium per pound and 0.36 g

Chapter 2

2.2 Sys

53. Cost of Food in Japan In Kyotos, Japan, the cost of three

bowls of noodles and two cartons of fresh milk is 2153 yen.

Three cartons of fresh milk cost 89 yen more than one bowl

of noodles. What is the cost of a bowl of noodles? A carton

phosphorus per pound. How many pounds each of role

oats and molasses should the farmer feed the yearling

order to meet the daily requirements?

OBJECTIVES

Source: Balancing Rations for Horses, R. D. Setzler,

of fresh milk?

Source: Statistics Bureau and Statistics Center, Ministry of

Public Management, Home Affairs, Posts and Telecommuni-

cations, Japan, 2002.

Wasngton State University.

60. Restaurant Management A restaurant manager wants to

purchase 200 sets of dishes. One design costs $25 per

wle another costs $45 per set. If she only has $7400 to

54. Cost of Fast Food Four large cheeseburgers and two choco-

late shakes cost a total of $7.90. Two shakes cost 15¢ more

spend, how many of each design should be ordered?

than one cheeseburger. What is the cost of a cheeseburger? A

shake?

55. Computing a Refund The grocery store we use does not

mark prices on its goods. My wife went to ts store, bought

three 1-pound packages of bacon and two cartons of eggs,

and paid a total of $7.45. Not knowing that she went to the

store, I also went to the same store, purchased two 1-pound

packages of bacon and three cartons of eggs, and paid a

total of $6.45. Now we want to return two 1-pound pack-

ages of bacon and two cartons of eggs. How much will be

refunded?

61. Theater Revenues A Broadway theater has 500 seats, divid.

ed into orchestra, main, and balcony seating. Orchestra seat

sell for $50, main seats for $35, and balcony seats for $25.1

all the seats are sold, the gross revenue to the theater is

$17,100. If all the main and balcony seats are sold, but only

half the orchestra seats are sold, the gross revenue is $14,600.

How many are there of each kind of seat?

62. Theater Revenues A movie theater charges $8.00 for

adults, $4.50 for cldren, and $6.00 for senior citizens. One

day the theater sold 405 tickets and collected $2320 in

receipts. There were twice as many cldren’s tickets sold as

adult tickets. How many adults, cldren, and senior citizens

went to the theater that day?

56. Blending Coffees A coffee manufacturer wants to market a

new blend of coffee that will cost $5 per pound by mixing

$3.75-per-pound coffee and $8-per-pound coffee. What

amounts of the $3.75-per-pound coffee and $8-per-pound

coffee should be blended to obtain the desired mixture?

63. Investments Kelly has $20,000 to invest. As her financial

planner, you recommend that she diversify into three invest-

ments: Treasury Bills that yield 5% simple interest, Treasul

Bonds that yield 7% simple interest, and corporate bon

that yield 10% simple interest. Kelly wishes to earn $1390

per year in income. Also, Kelly wants her investment in

[nt: Assume the total weight of the desired blend is 100

pounds.]

57. Pharmacy A doctor’s prescription calls for a daily intake of

liquid containing 40 mg of vitamin C and 30 mg of vitamin

D. Your pharmacy stocks two liquids that can be used: one

contains 20% vitamin C and 30% vitamin D, the other 40%

vitamin C and 20% vitamin D. How many milligrams of

each liquid should be mixed to fill the prescription?

Treasury Bills to be $3000 more than her investment in col

porate bonds. How much money should Kelly place in each

investment?

64. Make up a system of two linear equations containing twO

variables that has:

58. Pharmacy A doctor’s prescription calls for the creation of

pills that contain 12 units of vitamin B12 and 12 units of vit-

amin E. Your pharmacy stocks two powders that can be used

to make these pills: one contains 20% vitamin B12 and 30%

vitamin E, the other 40% vitamin B12 and 20% vitamin E.

How many units of each powder should be mixed in each

(a) No solution

(b) Exactly one solution

(c) Infinitely many solutions

थd

Give the three systems to a friend to solve and critique.

59. Diet Preparation A 600- to 700-pound yearling horse needs

33.0 grams of calcium and 21.0 grams of phosphorus per

day for a healthy diet. A farmer provides a combination of

rolled oats and molasses to provide those nutrients. Rolled

oats provide 0.41 grams of calcium per pound and

65. Write a brief paragraph outlining your strategy for solving

system of two linear equations containing two variables.

66. Do you prefer the method of substitution or the method of

elimination for solving a system of two linear equations con-

taining two variables? Give reasons.

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