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A bottle of shampoocontains a total of28- ounces of5shampoo.The directions on thebottle say to use3ounce of shampoo5each time you washyour hair.

1 Answer

1 vote

14 times (option C)

Step-by-step explanation:

The amount the shampoo container contains = 8 2/5 ounces

Amount to be used per wash = 3/5 ounce

let the number of times you can wash your hair = y

The amount the shampoo container contains = Amount to be used per wash × number of times you can wash your hair

8 2/5 = 3/5 × y


\begin{gathered} 8\text{ }(2)/(5)\text{ = }\frac{\text{42}}{5} \\ \frac{\text{42}}{5}\text{ = }(3)/(5)* y \\ \frac{\text{42}}{5}\text{ = }(3y)/(5) \end{gathered}
\begin{gathered} \text{cross multiply} \\ 5(42)\text{ = 5(3y)} \\ 210\text{ = 15y} \\ y\text{ = 210/15} \\ y\text{ = 14} \end{gathered}

Hence, you can wash your hair 14 times (option C)

User Rommel Santor
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