Question

38 of the visitors who visited the zoo on Sunday were adults. There were 360 more children than adults. The ratio of the number of the boys to the number of girls was 2:7. How many more girls than boys were at the zoo?

Answer 1

170 more girls than boys

Explanation:

Let A and C stand for the numbers of Adults (A) and Children (C). Let B and G stand for the numbers of Boys(B) and Girls (G).

We learn that A = 38.

We also find that:

C = A + 360 [There were 360 more children than adults]

We can write that: B + G = C [the total children is the sum of B and G]

Then we are told that the ratio of the number of the boys to the number of girls was 2:7

B/G = 2/7 , or

2G = 7B

and we can write G = (7/2)B

We want to find (G-B) [ How many more girls than boys were at the zoo?]

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C = A + 360

C = 38 + 360

C = 398

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B + G = C

B + G = 398

B + (7/2)B = 398

(7/2)B = 398

B = (398)*(2/7)

B = 113.7 or 114 [Round to nearest whole boy, out of courtesy]

G = 398 - 114 = 284

There are (284 - 114) = 170 more girls than boys at the zoo.