Page 178 - NUMINO TG_6A
P. 178
11Three Apples, Five Oranges Unit
Eggs Example: Eggs
Market B
Market A Step 1: Determine the unit rate: The students
are trying to determine how much 1 egg
2 eggs for $1 5 eggs for $2 costs, or dollars per egg.
unit rate: $1 = 1 2 = $0.5 unit rate: $2 = 2 5 = $0.4 Step 2: Set up a ratio.
2 2 2 1 5 5 5 1
= $0.5 = $0.4 Market A: Dollars = $1
Eggs 2
The price of 1 eggs is $0.1 cheaper at market B.
Milk Market B: Dollars = $2
Market B Eggs 5
Market A Step 3: Simplify the ratio as a decimal.
Market A: 2 $1 $0.5
Market B: 5 $2 $0.4
0.5 gallon for $1.20 2 gallons for $4.50 Step 4: Compare the unit rates; lower is
unit rate: $1.2 = 1.2 0.5 = $2.4 unit rate: $4.5 = 4.5 2 = $2.25 cheaper. $0.5 $0.4
0.5 0.5 0.5 1 2 2 2 1
= $2.4 = $2.25 Market B is cheaper.
The price of 1 gallon of milk is $0.15 cheaper at market B.
Market A Cherry Tomatoes
Market B
4 pounds for $5 5 pounds for $8
unit rate: $5 = 5 4 = $1.25 unit rate: $8 = 8 5 = $1.6
4 4 4 1 5 5 5 1
= $1.25 = $1.6
The price of 1 pound of cherry tomatoes is $0.35 cheaper at market A.
11. Three Apples, Five Oranges 99
Which Market Should I Pick?
Before picking a market, try to calculate the unit rate for each market quickly using mental math.
Example: Eggs.
2 eggs for $1
Always divide the first number by the second number. 1
2
It is easy to see that this is 0.5.
5 eggs for $2
Divide the first number by the second number. 2
5
Use mental math to find 2 0.4 6A Unit 11 161
5
Eggs Example: Eggs
Market B
Market A Step 1: Determine the unit rate: The students
are trying to determine how much 1 egg
2 eggs for $1 5 eggs for $2 costs, or dollars per egg.
unit rate: $1 = 1 2 = $0.5 unit rate: $2 = 2 5 = $0.4 Step 2: Set up a ratio.
2 2 2 1 5 5 5 1
= $0.5 = $0.4 Market A: Dollars = $1
Eggs 2
The price of 1 eggs is $0.1 cheaper at market B.
Milk Market B: Dollars = $2
Market B Eggs 5
Market A Step 3: Simplify the ratio as a decimal.
Market A: 2 $1 $0.5
Market B: 5 $2 $0.4
0.5 gallon for $1.20 2 gallons for $4.50 Step 4: Compare the unit rates; lower is
unit rate: $1.2 = 1.2 0.5 = $2.4 unit rate: $4.5 = 4.5 2 = $2.25 cheaper. $0.5 $0.4
0.5 0.5 0.5 1 2 2 2 1
= $2.4 = $2.25 Market B is cheaper.
The price of 1 gallon of milk is $0.15 cheaper at market B.
Market A Cherry Tomatoes
Market B
4 pounds for $5 5 pounds for $8
unit rate: $5 = 5 4 = $1.25 unit rate: $8 = 8 5 = $1.6
4 4 4 1 5 5 5 1
= $1.25 = $1.6
The price of 1 pound of cherry tomatoes is $0.35 cheaper at market A.
11. Three Apples, Five Oranges 99
Which Market Should I Pick?
Before picking a market, try to calculate the unit rate for each market quickly using mental math.
Example: Eggs.
2 eggs for $1
Always divide the first number by the second number. 1
2
It is easy to see that this is 0.5.
5 eggs for $2
Divide the first number by the second number. 2
5
Use mental math to find 2 0.4 6A Unit 11 161
5