%3D 6x-34 = 2X+2Y 2X-4 2 Xty-5 4X=54 CHAPTER 4. PROFORTIONS 36 EXERCISE 4-10 A chemist has 80 ml of a solution containing 20% acid. How nmany ml must be emoved and replaced by pure acid in order to obtain a 40% solution? (MAS 190 (5(2=49) Problems to Solve for Chapter 4 56. What percent of 20 is 13? folle population of a town increases 25% during 1991. By what percent must it decrease the following year to return to the population it was at the beginning of 1991? 58. A number is increased by 50%, then the resulting number is decreased by 40%. What was the initial number if the final number is 8 less than the original? tetnc calendar has 1 mętric year equivalent to our calendar year of 365 days. A metric year is divided into 10 equal metric months; a metric month is divided into 10 equal metric weeks; a mefric 5 week is divided into 10 equal metric days. To the nearest day. of our calendar, how mariy days are : there in 4 metric months, 5 metric weeks and 8 metric days? (MATHCOUNTS.1985)) - 60. If the ratio of 2r - y to x+ y is 2:3, find the ratio x : y. (MAO 1992) 61. If a stack of 8 quarters is exactly one-half inch high, how many quarters will be needed to make a stack one foot high? (MATHCOUNTS 1991) 62. If y varies inversely asr, and y = 3 when r 1990) 2, find y when x= 9, assuming that y > 0. (MAO 63. The discount on a stereo system is $69, and the rate of discount is 15%. What was the original price of the system? (MAO 1990) 3 , find 2" 64. Given and (MATHCOUNTS' 1992) %3D %3| 65. A test has two parts. The first part is worth 60% and the second part is worth 40%. If a student gets 95% of part one correct, what exact percent correct must the student achieve on part two to average 90% for the.whole test? (MATHCOUNTS 1988) 66. Jennifer had a bag.of.Gummy Bears. She gave 1/2 of them to Jessica, 1/3 of them to Jana, and 15 to Julie. If the bag was then empty, how many Gummy Bears were in the bag.at the beginning? (MATHCOUNTS 1991) 67. A man can run'x feet in y seconds. How many yards can he runi in z minutes? (MAÓ 1992) 68. x is directly proportional to y and inversely proportional to z. If x z = 2/3, find x when y = 7/8 and z = 7/9. (MATHCOUNTS 1939)N 1/2 when y = 3/4 and %3D %3D %3D 4500 69. A woman has part of $1500 invested at 4% ahd the rest at 6%.If her annual return on each investment is the same, then what is the average rate of interest wiich she realizes on the $4500? (AHSME 1953) 70. The wages of 3 men for 4 weeks is $108. At the same rate of pay, how many weeks will 5 men work for $135? (MAO 1991) 08 of U500-X) 不ニザムリの ハノ へz'SA h Sn

Algebra & Trigonometry with Analytic Geometry
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Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
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Number 58

%3D
6x-34 = 2X+2Y
2X-4 2
Xty-5
4X=54
CHAPTER 4. PROFORTIONS
36
EXERCISE 4-10 A chemist has 80 ml of a solution containing 20% acid. How nmany ml must be
emoved and replaced by pure acid in order to obtain a 40% solution? (MAS 190
(5(2=49)
Problems to Solve for Chapter 4
56. What percent of 20 is 13?
folle population of a town increases 25% during 1991. By what percent must it decrease the
following year to return to the population it was at the beginning of 1991?
58. A number is increased by 50%, then the resulting number is decreased by 40%. What was the
initial number if the final number is 8 less than the original?
tetnc calendar has 1 mętric year equivalent to our calendar year of 365 days. A metric year is
divided into 10 equal metric months; a metric month is divided into 10 equal metric weeks; a mefric
5 week is divided into 10 equal metric days. To the nearest day. of our calendar, how mariy days are :
there in 4 metric months, 5 metric weeks and 8 metric days? (MATHCOUNTS.1985)) -
60. If the ratio of 2r - y to x+ y is 2:3, find the ratio x : y. (MAO 1992)
61. If a stack of 8 quarters is exactly one-half inch high, how many quarters will be needed to make
a stack one foot high? (MATHCOUNTS 1991)
62. If y varies inversely asr, and y = 3 when r
1990)
2, find y when x= 9, assuming that y > 0. (MAO
63. The discount on a stereo system is $69, and the rate of discount is 15%. What was the original
price of the system? (MAO 1990)
3
, find
2"
64. Given
and
(MATHCOUNTS' 1992)
%3D
%3|
65. A test has two parts. The first part is worth 60% and the second part is worth 40%. If a student
gets 95% of part one correct, what exact percent correct must the student achieve on part two to
average 90% for the.whole test? (MATHCOUNTS 1988)
66. Jennifer had a bag.of.Gummy Bears. She gave 1/2 of them to Jessica, 1/3 of them to Jana, and
15 to Julie. If the bag was then empty, how many Gummy Bears were in the bag.at the beginning?
(MATHCOUNTS 1991)
67. A man can run'x feet in y seconds. How many yards can he runi in z minutes? (MAÓ 1992)
68. x is directly proportional to y and inversely proportional to z. If x
z = 2/3, find x when y = 7/8 and z = 7/9. (MATHCOUNTS 1939)N
1/2 when y = 3/4 and
%3D
%3D
%3D
4500
69. A woman has part of $1500 invested at 4% ahd the rest at 6%.If her annual return on each
investment is the same, then what is the average rate of interest wiich she realizes on the $4500?
(AHSME 1953)
70. The wages of 3 men for 4 weeks is $108. At the same rate of pay, how many weeks will 5 men
work for $135? (MAO 1991)
08
of
U500-X)
不ニザムリの
ハノ
へz'SA h Sn
Transcribed Image Text:%3D 6x-34 = 2X+2Y 2X-4 2 Xty-5 4X=54 CHAPTER 4. PROFORTIONS 36 EXERCISE 4-10 A chemist has 80 ml of a solution containing 20% acid. How nmany ml must be emoved and replaced by pure acid in order to obtain a 40% solution? (MAS 190 (5(2=49) Problems to Solve for Chapter 4 56. What percent of 20 is 13? folle population of a town increases 25% during 1991. By what percent must it decrease the following year to return to the population it was at the beginning of 1991? 58. A number is increased by 50%, then the resulting number is decreased by 40%. What was the initial number if the final number is 8 less than the original? tetnc calendar has 1 mętric year equivalent to our calendar year of 365 days. A metric year is divided into 10 equal metric months; a metric month is divided into 10 equal metric weeks; a mefric 5 week is divided into 10 equal metric days. To the nearest day. of our calendar, how mariy days are : there in 4 metric months, 5 metric weeks and 8 metric days? (MATHCOUNTS.1985)) - 60. If the ratio of 2r - y to x+ y is 2:3, find the ratio x : y. (MAO 1992) 61. If a stack of 8 quarters is exactly one-half inch high, how many quarters will be needed to make a stack one foot high? (MATHCOUNTS 1991) 62. If y varies inversely asr, and y = 3 when r 1990) 2, find y when x= 9, assuming that y > 0. (MAO 63. The discount on a stereo system is $69, and the rate of discount is 15%. What was the original price of the system? (MAO 1990) 3 , find 2" 64. Given and (MATHCOUNTS' 1992) %3D %3| 65. A test has two parts. The first part is worth 60% and the second part is worth 40%. If a student gets 95% of part one correct, what exact percent correct must the student achieve on part two to average 90% for the.whole test? (MATHCOUNTS 1988) 66. Jennifer had a bag.of.Gummy Bears. She gave 1/2 of them to Jessica, 1/3 of them to Jana, and 15 to Julie. If the bag was then empty, how many Gummy Bears were in the bag.at the beginning? (MATHCOUNTS 1991) 67. A man can run'x feet in y seconds. How many yards can he runi in z minutes? (MAÓ 1992) 68. x is directly proportional to y and inversely proportional to z. If x z = 2/3, find x when y = 7/8 and z = 7/9. (MATHCOUNTS 1939)N 1/2 when y = 3/4 and %3D %3D %3D 4500 69. A woman has part of $1500 invested at 4% ahd the rest at 6%.If her annual return on each investment is the same, then what is the average rate of interest wiich she realizes on the $4500? (AHSME 1953) 70. The wages of 3 men for 4 weeks is $108. At the same rate of pay, how many weeks will 5 men work for $135? (MAO 1991) 08 of U500-X) 不ニザムリの ハノ へz'SA h Sn
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