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…show more content… In December, Wal-Mart’s total sales were $1200. Customers bought 7 times as many thermometers as hot-water bottles. How many of each did Wal-Mart sell? Check your answer.
Let x = number of thermometers sold
Let Y = number of hot-water bottles sold
7Y = X
2x + 6y = 1200 (simplify)
X+3y=600 (substitute)
7y + 3y = 600
10y = 600 (divide by 10)
Y = 60
X= 7y
X= 7(60)
X = 420
420 = number of thermometers sold
60 = number of hot-water bottles sold
Check:
7y = x
7(60) = 420 (correct)
2x+6y = 1200
2(420) + 6(60) = 1200 (correct)
5-40
Kent Christy is organizing a fundraiser for the pool he manages. He bought ice-cream cones ($.75) and ice-cream sandwiches ($1.00) to sell. His total bill was $225. (a) If he ordered twice the number of ice-cream cones than ice-creamsandwiches, how many of each did he buy? (b) What did he spend for ice-cream cones? (c) What did he spend for ice-cream sandwiches?
(a)
Let x = number of ice-cream cones bought
Let y = number of ice-cream sandwiches bought
X = 2y
.75x + y = 225
.75(2y) = 225
1.5y + y = 225
2.5y = 225 (divide by 2.5)
Y = 90
X = 2y
X = 180
180 = number of ice-cream cones bought
90 = number of ice-cream sandwiches bought
(b)
180 x $.75
$135 = amount spent for ice-cream cones
(c)
90 x $1.00
$90 =