Math Problem Statement

A survey was conducted among 2150 households living in five residential complexes - A, B, C, D and E - in a town and it was found that A and B had 250 and 400 households respectively out of which 70% and 30% had 4 wheelers. The total number of households in D and E together was 1000 out of which 720 had 4 wheelers. In C there were 400 households who had 4 wheelers, 100 who did not have 4 wheelers and 80 had two or more 4 wheelers. Out of those households that had 4 wheelers in A only 40% had more than one 4 wheeler. The ratio of the number of households that had more than two 4 wheelers to those having a single 4 wheeler in B was 5 : 7 respectively. In E, 80% of the households had 4 wheelers whereas in D the number of households having a single 4 wheeler and those with two or more 4 wheelers were equal. In E the households with a single 4 wheeler was 80% of those having 4 wheelers whereas those with two or more 4 wheelers were 80 in number. the total number of households with tow or more 4 wheelers is what percentagee of total households having 4 wheelers

Solution

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Math Problem Analysis

Mathematical Concepts

Percentages
Ratios
Basic Algebra

Formulas

Percentage = (Part / Whole) * 100
Ratio calculations

Theorems

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Suitable Grade Level

Grades 10-12