Extra Practice Problems for Chapter 8
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One night a theater sold 548 movie tickets. An
adult’s ticket costs $6.50, and a child’s ticket costs $3.50. In all, $2881
was taken in. How many of each kind of ticket were sold?
(321 adult tickets and 227 child tickets)
A train leaves Smithville and travels south at a speed of 60 mph. Three hours
later, a second train leaves on a parallel track and travels south at 90 mph.
How far from the station will they meet? (540 miles
from the station)
A chemist has one solution that is 20% saline and a second that is 65% saline.
How many gallons of each should be mixed together to get 120 gallons of a
solution that is 50% saline?
(40 gal of 20% saline solution and 80 gal of 65% saline solution)
A small boat took 2 hr to make a trip downstream with a 4-mph current. The
return trip against the same current took 3 hr. Find the speed of the boat in
still water.
(speed
in still water is 20 mph.)
TRANSLATE the following problems, DO NOT HAVE TO SOLVE.
Two angles are complementary. One angle is 10 degrees less than three times
the other. Find the measures of the angles.
x + y = 90
y = 3x – 10
The perimeter of a rectangular field is 110 feet.
The length is 7 feet more than twice the width. Find the dimensions.
(x = width and y = length)
2x + 2y = 110
y = 2x + 7
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