. Neal makes a cleaning solution by mixing water and vinegar. He uses 7 cups of water for every 3 cups of vinegar. Write and use an equation to find how many more cups of vinegar he needs when he uses 7.5 cups of water than when he uses 4.5 cups of water. Define the variables. (write an equation in the form y=kx, define what x & y represent)
Answers
Answer: Neal makes a cleaning solution by mixing water and vinegar. He uses 7 cups of water for every 3 cups of vinegar.
To find : many more cups of vinegar he needs when he uses 7.5 cups of water than when he uses 4.5 cups of water.
Solution:
y = kx
y = cups of water
x = cups of vinegar.
=> 7 = k (3)
=> k = 7/3
y = 7x/3 is the Equation
if he uses 4.5 cups of water
4.5 = 7x₁/3
=> 13.5/7 = x₁
if he uses 7.5 cups of water
=> 7.5 = 7x₂/3
=> 22.5/7 = x₂
=> x₂ - x₁ = 22.5/7 - 13.5/7
=> x₂ - x₁ = 9/7
9/7 more cups of vinegar needed
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