Question

question
juniper is trying to dilute a chemical in her lab for an experiment. she knows if she mixes 2.4 ounces of concentrate she will need to add 3.6 ounces of water. she has 9.6 ounces of concentrate. how many ounces of water should she add to dilute the chemical?
provide your answer below:
she will need □ ounces of water.
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Explanation:

Step1: Set up proportion

Let \(x\) be the ounces of water. The proportion is \(\frac{2.4}{3.6}=\frac{9.6}{x}\) (concentrate - to - water ratio is constant).

Step2: Cross - multiply

\(2.4x = 3.6\times9.6\)

Step3: Solve for \(x\)

First, calculate \(3.6\times9.6 = 34.56\). Then \(x=\frac{34.56}{2.4}\). \(x = 14.4\)

Answer:

\(14.4\)