Make 2 equations from the question first
x is the number of pints for type 1
y is the number of pints for type 2
The equation
x + y = 120
60% x + 85% y = 65% (x + y)
Solve the equation
From the 2nd equation
0.6x + 0.85y = 0.65(x + y)
0.6x + 0.85y = 0.65x + 0.65y
0.85y - 0.65y = 0.65x - 0.6x
0.2y = 0.05x
y = 4x
From the 1st equation
x + y = 120
x + 4x = 120
5x = 120
x = 24
y = 4x
y = 96
The first type should be 24 pints, the second type should be 96 pints
Answer:
Mai
Step-by-step explanation:
To find the rate, you must determine who is going faster per minute. To do this, you must divide the total number of miles by the total number of minutes.
Mai: 5 miles / 15 minutes = 1/3 miles per minute
Jada: 4 miles / 14 minutes = 2/7 miles per minute
Then, use a common denominator to make calculations easier:
Mai: 1/3 * 7/7
Jada: 2/7 * 3/3
You should get:
Mai: 7/21 miles per minute
Jada: 6/21 miles per minute
By looking at this, you can see that Mai is traveling slightly faster, going more miles than Jada per minute.
Step-by-step explanation:
x = 144 ( corresponding angle)
y = 180- 144 ( linear pair)
y= 36°