My teacher taught me a simple equation for these types of problems:
(percent of solution × amount of solution) + (percent of solution × amount of solution) = (percent of solution × total amount of solution)
in simple terms: %amount + %amount = %total amount
We know don't know how much gallons of 60% solution we need so it will be represented as x. We dont know the total amount either so it would have to be both solutions added together so 50 + x. Now lets solve:
(0.60)(x) + (0.24)(50) = (0.50)(50 + x) simplify/ distribute
0.6x + 12 = 25 +0.5x get all xs on one side and numbers on other
0.1x + 12 = 25
0.1x = 13 divide both sides by 0.1 to find x
x = 130
You need 130 gallons of 60% solution.
As far as my math can tell the bigger one has a hypotnuse length of 8 whereas the smaller anes length is about 1 1/2
Answer:
- 7
Step-by-step explanation:
6(- x - 3) = 24
-6x - 18 = 24
-6x = 24 + 18
-6x = 42
x = 42 ÷ - 6
x = - 7
