I am supposed to create a puzzle for Algebra II with 3 variables and use a system of equations to solve it. An example is " The sum of three numbers is 16. The sum of the first number and the second number is 2 more than the third number. The second number minus the sum of the first number and third number is twice the third number." It has to be similar to that.

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03-10-2019
Mathematics

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I am supposed to create a puzzle for Algebra II with 3 variables and use a system of equations to solve it. An example is " The sum of three numbers is 16. The sum of the first number and the second number is 2 more than the third number. The second number minus the sum of the first number and third number is twice the third number." It has to be similar to that.

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derpyderpderpmail derpyderpderpmail · Answer 1 · 2019-10-05T06:24:49+02:00

Answer:

"The sum of a number with the product of two other numbers is 60. The first number divided by the third number is equal to 3. The difference of the first and second number is [tex]\frac{2}{3}[/tex] of the second number. The sum of all three numbers is one less than the first number."

Step-by-step explanation:

You need to have 3 variables. Let's arbitrarily assign them the values of [tex]x, y,[/tex] and [tex]z[/tex]

If it has to be similar to the example you gave it, then we can set it up like this:

"The sum of a number with the product of two other numbers is 60. The first number divided by the third number is equal to 3. The difference of the first and second number is [tex]\frac{2}{3}[/tex] of the second number. The sum of all three numbers is one less than the first number."

Would this work?