# Appmath Chapter 5 Essay

5-12

In 1955 an antique car that originally cost $3,668 is valued today at $62,125 if in excellent condition, which is 1¾ times as much as a car in very nice condition – if you can find an owner willing to part with one for any price, What would be the value of the car in very nice condition?

Let x = value of the car in very nice condition

1¾x = 62125

7x/4 = 62125 (multiply by 4)

7x = 248500 (divide by 7)

X = 35,500

$35000 = value of the car in very nice condition

5-14

Nanda Yueh and Lane Zuriff sell homes for ERA Realty. Over the past 6 months they sold 120 homes. Nanda sold 3 times as many homes as Lane. How many homes did each sell?

Let x = Number of homes sold by

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2½x = 503000

5x/2= 503000 (multiply by 2)

5x = 1006000 (divide by 5)

X = 201200

201200 = Number of discouraged unemployed workers last year

5-28

Staples sells boxes of pens ($10) and rubber bands ($4). Leona ordered a total of 24 cartons for $210. How many boxes of each did Leona order? Check your answer. Hint: Let P = pens.

Let P = number of pens (boxes)

Let R = number of rubber bands (boxes)

P+R = 24

P = 24 – R

10P + 4R = 210 (substitute)

10( 24 – R ) + 4R = 210

240 – 10R + 4R = 210

240 – 6R = 210

-6R = 210 – 240

-6R = -30 (divide by -6)

R = 5

P = 24 – R

P = 24 – 5

P = 19

19 = number of boxes of pens Leona ordered

5 = number of boxes of rubber bands Leona ordered

Check:

P+R = 24

19 + 5 = 24 (correct)

10P + 4R = 210

10(19) + 4(5) = 210

190 + 20 = 210 (correct)

5-34

At General electric, shift 1 produced 4 times as much as shift 2. General Electrics’ total production for July was 5500 jet engines. What was the output for each shift?

Let x = output of shift 2

Let 4x = output of shift 1

4X + x = 5500

5x = 5500 (divide by 5)

X = 1100

1100 jet engines= output of shift 2

4400 jet engines = output of shift 1

5-36

Jim Murray and Phyllis Lowe received a total of $50000 from a deceased relative’s estate. They decided to put $10000 in a trust for their nephew and divide the remainder. Phyllis received ¾ of the remainder; Jim received ¼. How much did Jim and