Question

Set up a proportion to predict the outcome of the given event.How many of the next 105 containers of ice cream sold should expect to be vanilla if the last 15 sales consisted of the following: 4 Vanilla, 3 Chocolate, 7 Cookies-n-Cream, and 1 Strawberry. 28 100 15 72

Answer 1

To set up the proportion we first need to find the ratio of the vanilla ice cream sold for the 15 sales mentioned. From the information given we notice that 4 out of 15 were vanilla then:

`(4)/(15)`

Now we need to find the second proportion, let x be the number of vanilla ice creams; in this case we have that x out of 105 are vanilla, then:

`(x)/(105)`

Equating both ratios we have the proportion:

`(x)/(105)=(4)/(15)`

Solving for x we have:

`\begin{gathered} (x)/(105)=(4)/(15) \\ x=105\cdot(4)/(15) \\ x=(420)/(15) \\ x=28 \end{gathered}`

Therefore we expect that 28 out 105 sales will be vanilla ice cream.