Question: At Willy's Aquatic Shop the ratio of danios to zebrafish is 3:4. Of the danios...

Question:

At Willy's Aquatic Shop the ratio of danios to zebrafish is 3:4. Of the danios the ratio of male to female is 1:4, and of the zebrafish the ratio of male to female is 2:3. (1) What percentage of the danios are male? (2) What fraction of these fish that are female are zebrafish?

Please, it would be helpful to see the steps, because the final answers have been given to the above question, but not sure exactly how they arrived at that particular solution. Thank you.

Expert Solution

Male Female Total

Danois 0.4286X1/5=0.0857 0.4286X4/5=0.3429 3/7 = 0.4286

Zebrafish 0.5714X2/5=0.2286 0.5714X3/5=0.3428 4/7 = 0.5714

Total 0.3143 0.6857 1.00

(1) Percentage of Danios are male = Male Danios/Total Danios = 0.0857/0.4286 = 0.20 = 20 %

(2) Fraction of female are Zebrafish = Female Zebrafish/Total Female = 0.3428/0.6857 = 0.50

orchestra answered 2 years ago

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