for rate problems: if it is opp, you _____. if it is not opp, you set _________. 1. answer add...
TRANSCRIPT
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
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.
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, 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).
Example 1, continued
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, continued
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
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
47800 37585 50( 0) 5x x 85 23900 50 37550x x
35 23900 37550x
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
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?
Classwork Problem #2
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?
Classwork Problem #3
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?
Classwork Problem #4
How many quarts of water should be added to 18 quarts of a 75% salt solution to make a
40% solution?