Answer:
1. Typed question: 175 green eggs
2. Attached: 22 tables
Step-by-step 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:
[tex]\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}[/tex]
Now let's solve for x:
[tex]\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}\\\\or\\\\\dfrac{4}{7}=\dfrac{100}{x}\\\\Cross-multiply\\\\4x = (7)(100)\\\\4x = 700\\\\Divide\;both\;sides\;by\;4\\\\\dfrac{4x}{4}=\dfrac{700}{4}\\\\x=175[/tex]
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.
