Question

In preperation for an easter egg hunt, 4 blue eggs are filled for every 7 green. How many green eggs will be filled if 100 blue eggs were filled

Answer 1

1. Typed question: 175 green eggs

2. Attached: 22 tables

Explanation:

For the question you typed down, it is a ratio and proportion problem. You need to solve for the ratio proportional to the first ratio given.

4 blue eggs are filled for every 7 green. This means that the ratio between blue eggs and green eggs is 4:7.

Now yo need to figure out a ratio proportional to 4:7 if 100 blue eggs were filled. Below is how this is set up:

`(4\;blue\;eggs)/(7\;green\;eggs) = (100\;blue\;eggs)/(x\;green\;eggs)`

Now let's solve for x:

`(4\;blue\;eggs)/(7\;green\;eggs) = (100\;blue\;eggs)/(x\;green\;eggs)\\\\or\\\\(4)/(7)=(100)/(x)\\\\Cross-multiply\\\\4x = (7)(100)\\\\4x = 700\\\\Divide\;both\;sides\;by\;4\\\\(4x)/(4)=(700)/(4)\\\\x=175`

For your attached problem:

You have a total of 175 people, you need to figure out how many round tables you need if here are 8 chairs for each table You just need to divide the number of people by the number of chairs per table.

175 ÷ 8 = 21.9 tables

Now since you cannot have half a table, you round up to the nearest whole number. (we round up because you need to make sure that all of them are seated)

21.9 ≅ 22 tables.