Mathematics Test III Solution - Page 89
35. A basketball team has won 24 games out of 36 games played. It has 24 more games to play. How many ofthese must the team win to make its record 80% for the season ?
The total number of wins = 80% x (total no. of games played)
= 0.80 x ( 36 + 24 )
= 0.80 ( 60 )
Since they already won 24 games, they need to win 24 more games. * Ans.
36. If prices are reduced by 25% sales increased by 33 ⅓ % what is the net effect on gross revenue ?
Revenue = price x no. items sold
R = P x N
Rorig = PN
If prices are reduced by 25%
Rnew = ( P - 25% P) ( N + 33 ⅓ N )
= ( P - ¼ P ) ( N + ⅓ N )
= ( ¾ P ) ( 4/3 N )
Rnew = PN
Rnew = Rorig
The revenues remain the same * Ans.
37. An 8-meter rope is cut so that one part is 3/5 of the other. How long in meters, is the shorter segment ?
Let x - be the length of the shorter rope.
Let 8 - x be the length of the larger rope
x = 3 ( 8 - x )
5x = 3 ( 8 - x )
5x = 24 - 3x
5x + 3x = 24
8x = 24
x = 3 meters * Ans.
38. When the gasoline guage of an automobile shows 1/8 full, 52.5 liters is needed to completely fill the gasoline tank. What is the capacity, in liters of the gasoline tank?
Let x - be the capacity in liters
x - 1 x = 52.5
7 x = 52.5
x = 52.5 ( 8 )
x = 60 * Ans.
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