10. A cruise ship carries 3, 100 passengers, as well as 1,200 crew members. The cruise line wants to build a larger ship that is capable of carrying 6,000 total people, including both
passengers and crew. If the cruise line wants the ratio of passengers to total people to remain proportional, how many passengers can fit on the larger ship? Round your answer to
the nearest whole number.

Step-by-step explanation:

the answer to this problem is 14

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft