Ms. Barton ate an impressive number of slices, but Mr. weaver ate eight more slices than Ms. Barton did. Mr. Fitzgerald ate fifteen Fewer slices than twice as many as Ms. Barton did. Mr. Lloyd’s total was more thirty than half of Ms. Barton’s If the teachers ate a total of 176 slices of pie, what was the finishing order of the contest and how many slices did the winner eat?

Let:

Ms. Barton = b

Mr. Weaver = b + 8

Mr. Fitzgerald = 2b - 15

Mr. Lloyd = 1/2b + 30

Find b:

176 = b + b + 8 + 2b - 15 + 1/2b + 30

176 = 9/2b + 23

153 = 9/2b

b=34

Plug in 9 to b:

Ms. Barton = 34 slices (4th place)

Mr. Weaver = 34 + 8 = 42 slices (3rd place)

Mr. Fitzgerald = 2(34) - 15 = 53 slices (1st place)

Mr. Lloyd = 1/2(34) + 30 = 47 slices (2nd place)

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

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