# Appmath Chapter 5 Essay

967 Words Jan 22nd, 2012 4 Pages
Chapter 5 word problems (final answers in bold)

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
Let x = number discouraged of unemployed workers last year
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

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