Question

2) Elena has some bottles of water that each holds 17 fluid ounces. a) Write an equation that relates the number of bottles of water (b) to the total volume of water (w) in fluid ounces. b) How much water is in 51 bottles? Show your work. c) How many bottles does it take to hold 51 fluid ounces of water? Show your work.

Answer 1

(a)

Since each bottle holds 17 fluid ounces, then if b is the number of bottles of water and w is the total volume of water in fluid ounces we can set the following equation:

`w=17b\text{.}`

(b)

Now, if b=51,

`w=17*51=867.`

Therefore, in 51 bottles there are 867 fluid ounces.

(c)

If w=51, solving for b we get:

`\begin{gathered} 51=17b, \\ (51)/(17)=b, \\ b=3. \end{gathered}`

Therefore, it would take 3 bottles to hold 51 fluid ounces.