Simultaneous equations in word form (2)

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SUMMARY

The discussion focuses on solving simultaneous equations derived from a word problem involving the wages of men and women. The equations set up are 6x + 5y = 670 and 3x + 8y = 610, where x represents the wage of a man and y represents the wage of a woman. Participants confirm that the equations are correctly formulated, emphasizing the importance of clearly defining variables. A critique is raised regarding the assumption that all men and women earn the same wage, which may not reflect real-world scenarios.

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  • Understanding of simultaneous equations
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  • Basic knowledge of variable representation
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  • Study methods for solving simultaneous equations, such as substitution and elimination
  • Explore the implications of variable assumptions in mathematical modeling
  • Learn how to represent word problems as algebraic equations
  • Investigate real-world applications of simultaneous equations in economics
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CSmith1
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The wage bill for six women and five men is \$670. The bill for eight men and three women is \$610. Find the wages of (1) a man and (b) a woman.

i set it up like this :

6x+5y=670
3x+8y=610

did i set it up right because word questions confuses me .
 
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Yes, you have set it up correctly. :cool:
 
CSmith said:
The wage bill for six women and five men is \$670. The bill for eight men and three women is \$610. Find the wages of (1) a man and (b) a woman.

i set it up like this :

6x+5y=670
3x+8y=610

did i set it up right because word questions confuses me .

When setting up the equations you might find it more intuitive to use m and w for the wages of men and women repetitively (you should also at a minimum say what each variable represents).

CB
 
Unfortunately, this problem assumes, without saying so, that all men make the same wage and that all women make the same wage. That seems silly to me.
 

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