Express the following fraction in simplest form using only positive exponents. 4j^7/5(j^2)3
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Answer:
111 girls
Step-by-step explanation:
Given
Boys: Every 17 outdoor ≈ 20 indoor
Girls: 3:2 outdoor to indoor
First, we'll determine the ratio of outdoor to indoor for boys;
Recall that;
17 choose indoor while 20 choose outdoor;
The ratio of outdoor to indoor is;
20 : 17
Convert to fraction:
Let x represent number of boys that choose indoor when 85 boys chose outdoor;
The ratio of outdoor to indoor is;
x : 85
Convert to fraction
Equate both fractions
Multiply both sides by 85
This implies that when 85 chose outdoor, 100 chose indoor for boys;
Total = 100 + 85
Total = 185 boys surveyed
<em>Recall that the question says the same number of boys and girls were surveyed</em>
This implies that
Total Girls Surveyed = 185
For the girl ratio;
Outdoor to Indoor= 3:2
Number of girls that chose outdoor is as follows;
<em>Hence, the number of girls that chose outdoor is 111</em>