Just multiply.
11.76 * 23.5= 276.36
So Mike earned $276.36 last week
Linda should use ...
15 gallons of 80% juice
5 gallons of 60% juice
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Let g represent the number of gallons of 80% juice needed. Then (20-g) is the number of gallons of 60% juice Linda will use. The amount of juice in the mixture can be written as
0.80g +0.60(20 -g) = 0.75×20
0.20g = 20(0.75 -0.60) = 20×0.15
g = 20×0.15/0.20 = 15
The amount of 80% juice needed is 15 gallons, so 5 gallons of 60% juice are needed.
First, set up the equation.
365x + 125 = 250x + 175
Second, combine like terms on the same side by subtracting 250x and 125 from both sides.
365x +125 = 250x + 175
-250x -125 -250x -125
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115x = 50
Third, divide both sides by 115 to solve for x.
115x = 50
---- ----
115 115
Fourth, simplify.
x=50/115=10/23 or 0.435