for rate problems: if it is opp, you _. if it is not opp, you set _____. 1. answer add...

For Rate Problems:If it is OPP, you _____. If it is not OPP, you set _________.

1. ANSWERADD

Equally

2.

ANSWER

For Work Problems: 1 1timetogether timetogether

timealone timealone

3.

For Absolute Value Inequalities:

If the mouth faces the door _________.ANSWER

Its an “Or”

For Inequalities:“And” looks like ____________. “Or” looks like ___________.

4.

ANSWER

Arms FoldedArms Apart

For Rate Problems:If it is OPP, you _____. If it is not OPP, you set _________.

1. ANSWERADD

Equally

2.

ANSWER

For Work Problems: 1 1timetogether timetogether

timealone timealone

3.4.2 4

3 9

x

x

x = 6/5ANSWER

3 1 1

2 10t

t = 5ANSWER

Mixture Problems

A dealer wishes to mix coffee worth 65¢ per pound with coffee worth 90¢ per pound in order to produce 40 pounds of coffee which can be sold at 75¢ per pound. How many pounds of each type should he use?

Example 1

90 65 75

These are the largest and smallest numbers

This number is between them.


Example 1, continued

90 65 75

40x 40 x

409 4( ) ( )0 65 5 07x x 90 2600 65 3000x x

25 2600 3000x

25 2600 3000x 2600 2600 25 400x25 25

16xGo back and look at what you were asked for. Then give the answer(s).




90 65 75

40x 40 x

We need:16 pounds of 90¢ coffee

24 pounds of 65¢ coffee

A chemist has one solution which is 30% pure acid and another which is 60% pure acid. How many liters of each should be used to produce 60 liters of a solution which is 50% pure acid.

Example 2

30 60 50

60x 60 x

603 6( ) ( )0 60 0 05x x 30 3600 60 3000x x

3600 30 3000x 3600 3600

30 600x

A chemist has one solution which is 30% pure acid and another which is 60% pure acid. How many liters of each should be used to produce 60 liters of a solution which is 50% pure acid.

Example 2

30 60 50

60x 60 x

30 600x 30 30

20x20 liters of 30% acid

40 liters of 60% acid

How much salt must be added to 80 pounds of a 5% salt solution to make a 24% salt solution?

Example 3

5 100 24

80x 80 x ( )5 80 100 2 80)4(x x

400 100 24 1920x x 24 24x x

400 76 1920x

salt Salt solutionSalt solution

400 400 76 1520x

How much salt must be added to 80 pounds of a 5% salt solution to make a 24% salt solution?

Example 3

5 100 24

80x 80 x

salt Salt solutionSalt solution

76 1520x76 76

20x

20 pounds of salt

One evening 478 tickets were sold at a local movie. The charges for admission were 85¢ for adults and 50¢ for children. The total receipts for the performance were $375.50. How many adults and how many children attended?

Example 4

0.85 0.50

478 xx 478

$375.50 is the total money. We don’t need to multiply 478 by some mixture amount of money to get the total money. It is given to us.

$375.50


Example 4

0.85 0.50

478 xx 478$375.50

47800 37585 50( 0) 5x x 85 23900 50 37550x x

35 23900 37550x


Example 4

0.85 0.50

478 xx 478$375.50

35 23900 37550x 23900 23900

35 13650x35 35

390x390 adults

88 children

Classwork Problem #1

Juan combines 6 liters of a 30% acid solution with a 50% acid solution to obtain a 45% acid solution. How many liters of 50% solution should he use?


A 35% silver alloy is to be melted with a 65% silver

alloy. How many kilograms of each should be used to get 20 kg of a 40% silver alloy?


A candy dealer sells 5¢ candy bars and 10¢ candy bars. One day he sold 130 bars for which he received

$9. How many of each kind did he sell?


How many quarts of water should be added to 18 quarts of a 75% salt solution to make a

40% solution?


How many quarts of 55% antifreeze should be

mixed with a 10% solution to get 12 quarts of a 25%

solution?

for rate problems: if it is opp, you _. if it is not opp, you set _____. 1. answer add...

Documents

acid solution

pounds of coffee

coffee worth

pure acid

coffee24 pounds

acid40 liters

total money

total receipts

for rate problems: if it is opp, you _____. if it is not opp, you set _________. 1. answer add...

for rate problems: if it is opp, you _. if it is not opp, you set _____. 1. answer add...