We want to use the Addition-Subtraction method to solve
8.92x - 5.42y = 3.41 (1)
5.83x + 1.07y = 2.37 (2)
We shall eliminate y from the two equations by Addition.
Multiply (1) by 1.07 and multiply (2) by 5.42 to obtain
1.07*(8.92x - 5.42y) = 1.07*3.41
9.5444x - 5.7994y = 3.6487 (3)
5.42*(5.83x + 1.07y) = 5.42*2.37
31.5986x + 5.7994y = 12.8454 (4)
Add (3) and (4) to obtain
9.5444x - 5.7994y + 31.5986x + 5.7944y = 3.6487 + 12.8454
41.143x = 16.4941
x = 0.4009
From (2), obtain
1.07y = 2.37 - 5.83x
= 2.37 - 5.83*0.4009
= 0.0328
y = 0.0307
Answer:
x = 0.4009
y = 0.0307
To make one serving you need 3cups/8servings = 3/8 cup.
To make 6 servings you need 3/8cup * 6 servings = 9/4 cups = 2.25 cups.
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

Start with the original expression.

Use the Distributive Property — multiply
by both
and
.

Combine the like terms — add up all the constants.

Reorder the terms.
