Question

(6.05)Out of 150 students at summer camp, 70 signed up for swimming. There were 25 that signed up for zip line, of which 12 of those students also signed up for swimming. What percent of the students at camped signed up for neither swimming or the zip line? (5 points)
54%
45%
84%
67%

Answer 1

Answer:

45% of the students at camped signed up for neither swimming or the zip line ⇒ 2nd answer

Step-by-step explanation:

To solve the problem let us use the following rules

n(swimming or zip line) = n(swimming) + n(zip line) - n(swimming and zip line)

n(neither) = n(total) - n(swimming or zip line)

∵ 70 signed up for swimming

∵ n(swimming) = 70

∵ There were 25 that signed up for zip line

∵ n(zip line) = 25

∵ 12 of those 25 students also signed up for swimming

∵ n(swimming and zip line) = 12

Use the 1st rule to find n(swimming or zip line)

∵ n(swimming or zip line) = 70 + 25 - 12

∴ n(swimming or zip line) = 83

∴ There were 83 students signed up in swimming or zip line

Use the 2nd rule to find n(neither)

∵ There were 150 students at summer camp

∴ n(total) = 150

∵ n(swimming or zip line) = 83

∴ n(neither) = 150 - 83

∴ n(neither) = 67

∴ There were 67 students signed up for neither swimming or the

   zip line

To find the percent of the neither divide n(neither) by n(total), then multiply the quotient by 100%

∵ %(neither) = $\frac{67}{150}$ × 100%

∴ %(neither) = 44.6666667%

- Round it to the nearest whole number

∴ %(neither) = 45%

45% of the students at camped signed up for neither swimming or the zip line