Solving Systems Of Linear Equations Word Problems

Solving Systems Of Linear Equations Word Problems-16
The store sells the forks for and the spoons for 5$.

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Since we know that cows have four legs each and chickens have two legs each, we have enough information to make another equation.The next example will be a bit harder, Example 2: Rodney’s Kitchen Supplies makes and sells spoons and forks.It costs the store to buy the supplies needed to make a fork, and

Since we know that cows have four legs each and chickens have two legs each, we have enough information to make another equation.

The next example will be a bit harder, Example 2: Rodney’s Kitchen Supplies makes and sells spoons and forks.

It costs the store $2 to buy the supplies needed to make a fork, and $1 for the supplies needed to make a spoon.

If we let L be equal to the number of keys Leo has, keys, I'll just say for Leo, and then H equaled the number of keys for Hazel, and obviously if you were doing this on a test, like the SAT, you wouldn't have to write all this out, you would trying to be getting to the solution, but I'm trying to explain it out for you, so I will do that.

And so let's see how we can set up these two constraints that they gave us as equations.

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Since we know that cows have four legs each and chickens have two legs each, we have enough information to make another equation.The next example will be a bit harder, Example 2: Rodney’s Kitchen Supplies makes and sells spoons and forks.It costs the store $2 to buy the supplies needed to make a fork, and $1 for the supplies needed to make a spoon.If we let L be equal to the number of keys Leo has, keys, I'll just say for Leo, and then H equaled the number of keys for Hazel, and obviously if you were doing this on a test, like the SAT, you wouldn't have to write all this out, you would trying to be getting to the solution, but I'm trying to explain it out for you, so I will do that.And so let's see how we can set up these two constraints that they gave us as equations.- [Instructor] We are told that Hazel and Leo are comparing the number of keys on their keychains.If Leo has four more keys on his keychain than Hazel does on hers and the two of them have 18 keys combined, how many keys does Hazel have on her keychain?We will solve it here for you, but if you need to remind yourself how to do that step by step, read the article called Systems of linear equations.x = 16 – y 32 – 2y 4y = 60 2y = 28 y = 14 x = 2 We can now see that there are two chickens and 14 cows in the farmhouse.And that will be our second equation: 4*x 5*y = 93 This was the hard part.Now all we have to do is to solve this linear system to find how many spoons and how many forks did we make last month.

for the supplies needed to make a spoon.If we let L be equal to the number of keys Leo has, keys, I'll just say for Leo, and then H equaled the number of keys for Hazel, and obviously if you were doing this on a test, like the SAT, you wouldn't have to write all this out, you would trying to be getting to the solution, but I'm trying to explain it out for you, so I will do that.And so let's see how we can set up these two constraints that they gave us as equations.- [Instructor] We are told that Hazel and Leo are comparing the number of keys on their keychains.If Leo has four more keys on his keychain than Hazel does on hers and the two of them have 18 keys combined, how many keys does Hazel have on her keychain?We will solve it here for you, but if you need to remind yourself how to do that step by step, read the article called Systems of linear equations.x = 16 – y 32 – 2y 4y = 60 2y = 28 y = 14 x = 2 We can now see that there are two chickens and 14 cows in the farmhouse.And that will be our second equation: 4*x 5*y = 93 This was the hard part.Now all we have to do is to solve this linear system to find how many spoons and how many forks did we make last month.

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