**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 )

= 48

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

R

_{orig}= PN

If prices are reduced by 25%

R

_{new}= ( P - 25% P) ( N + 33 ⅓ N )

= ( P - ¼ P ) ( N + ⅓ N )

= ( ¾ P ) ( 4/3 N )

R

_{new}= PN

R

_{new}= R

_{orig}

**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 )

5

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

2

__7__x = 52.5

8

x = 52.5 (

__8__)

7

**x = 60 * Ans.**

Civil Service Reviewer Post 89/159