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was 5,500 jet engines. What was the output for shift 1?

2006-07-28 13:46:17 · 9 answers · asked by Hiphopaction 2 in Science & Mathematics Mathematics

9 answers

Here's how you figure it out. It's very easy.

S_1 = shift 1
S_2 = shift 2

Set up a system of equations

S_1 = 4*S_2 (since it made 4x shift 2)

S_1 + S_2 = 5500 (since this is total production.

Now solve. There are a few ways to do this. I'll substitute S_2.

To do this use the second equation,

S_2 = 5500 - S_1

Then plug into the first.

S_1 = 4*(5500 - S_1)
S_1 = 22000 - 4*S_1
5*S_1 = 22000
>>S_1 = 4400<<

4,400 jet engines

2006-07-28 14:05:28 · answer #1 · answered by polloloco.rb67 4 · 0 0

4400 jet engines.

The key to solving word problems of this type is to read carefully and see if you can set up a simple fraction.

Example:

5500/5=1100. since we know shift 1 produced 4 times shift 2 it is easy to guess that shift 1 produced 4,400 engines and shift 2 produced 1,100 engines.

Another strategy that I like to use is to write an equation that says what is happening in the word problem.

Example:

4x+x=5500

The equation says that 4 times an unknown number of jets plus the same unkown number of jets equals the total number of jets produced

The equation reduces to:

5x=5500

The equation says the total number of jets produced is 5 times greater than a certain number of jets. Logically, the unknown number is the number of jets produced by shift two.

Dividing both sides of the equation by five solves for the value of x.

(5x)/5=(5500)/5=1100

Finally, Solving for the value of x yields the number of jets produced by shift 2. If the meaning of the value of x is not apparent think logically. The original problem compared the number of jets produced by shift 1 to the number of jets produced by shift 2. The purpose of creating the equation was to solve for the number of jets produced by one of the shifts.

This method may seem tedious, but it can be effective for clarifying more complex word problems. The key to solving word problems to think logically about what the problem is asking you, and then look for what you can find with the information given.

2006-07-28 15:14:15 · answer #2 · answered by shin 1 · 0 0

Ok... first, you know that shift 1 is four times larger than shift 2. Therefore, you can make this formula:

x + 4x = 5,500

Make sense? Solve for x.

x = 1,100

Now, that's the output for shift 2. We want shift 1.

So... 1,100 x 4 = 4,400. That's your answer!

4,400. Good luck! :)

2006-07-31 05:26:01 · answer #3 · answered by M 4 · 0 0

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2016-10-01 05:12:21 · answer #4 · answered by manjeet 4 · 0 0

The KEY here is that you'd simply need to divide the total output, 5500 by 4, which would give you 4400.

2006-07-30 01:12:10 · answer #5 · answered by msoexpert 6 · 0 0

4400 jet engines

2006-07-28 13:51:38 · answer #6 · answered by INFOPOTAMUS 3 · 0 0

4,400 jet engines

2006-07-28 15:27:08 · answer #7 · answered by asc 1 · 0 0

What he said, remember I'm a nicer person. Have a Great Day!!!

2006-07-28 13:51:39 · answer #8 · answered by 345Grasshopper 5 · 0 0

OMG thats an easy one.. 4,400

2006-07-28 13:49:58 · answer #9 · answered by Rich 2 · 0 0

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