On a beach 50 people are wearing sunglasses and 35 people are wearing caps. Some people are wearing both sunglasses and caps. If one of the people wearing a cap is selected at random, the probability that this person is also wearing sunglasses is 25\frac{2}{5}. If instead, someone wearing sunglasses is selected at random, what is the probability that this person is also wearing a cap?
A. 1485\frac{14}{85}
B. 725\frac{7}{25}
C. 25\frac{2}{5}
D. 47\frac{4}{7}
E. 710\frac{7}{10}

Fraction and percentage word problems中文
Work through it with AI →

It won't just hand you the answer — it asks where you're stuck.How the checker works

Worked solution

1. 2019 AMC 8 官方解析

The number of people wearing caps and sunglasses is 25⋅35=14\frac{2}{5} \cdot 35 = 14. So then 14 people out of the 50 people wearing sunglasses also have caps 1450=(B)725\frac{14}{50} = (B)\frac{7}{25}.

Answer

B. 725\frac{7}{25}

AI analysis — may contain mistakes.

Worked this one out on paper? Snap your steps and Gigle's AI math checker will circle the step where it went wrong.

More questions on this topic

  1. 1Alicia, Brenda, and Colby were the candidates in a recent election for student president. The pie chart below shows how…
  2. 2Mr. Ramos gave a test to his class of 20 students. The dot plot below shows the distribution of test scores. Later Mr. R…
  3. 3Jamal has a drawer containing 6 green socks, 18 purple socks, and 12 orange socks. After adding more purple socks, Jamal…
  4. 4Three fourths of a pitcher is filled with pineapple juice. The pitcher is emptied by pouring an equal amount of juice in…
  5. 5In the land of Markovia , there are three cities: AA, BB, and CC. There are 100 people who live in AA, 120 who live…