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Algebra - Systems of Equations - Word Problems

The table below is based on surveys of double-income families and the percent of men and women in these families who said they had the greater responsibility for various areas of the housework. In the category of paying bills, a total of 98% of this responsibility was taken on by either women or men. (One can surmise that in 2% of the families, this responsibility was equally shared.) The difference between the percent of women and the percent of men with the greater responsibility for paying bills was 28%. Find the percent of women and the percent of men who said they had the greater responsibility for paying bills.

Males Shopping 18%
Females Shopping 87%

Males Cooking 15%
Females Cooking 81%

Males Cleaning 7%
Females Cleaning 78%

Males Paying Bills ???
Females Paying Bills ???

Males Repairs 14%
Females Repairs 91%.

Solution Preview

Let the percentage of men taking greater responsibility of paying bills be x and the percentage of women taking greater ...

Solution Summary

A complete, neat and step-by-step solution regarding systems of equations is provided.

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