Question

8th grade teachers and students from M.I.T went on a field trip to an zoo. Tickets
were $5.00 each for teachers and$3.50 each for students, and the group paid
$51.50 in total.A few weeks later, the same group visited a natural history museum where the tickets cost$20.00 each for teachers and $8.50 each for students, and the group paid$156.50 in total.
Find the number of teachers and students on the field trips.
A 4 Teachers and 9 Students
4 Teachers and 10 Students
3 Teachers and 9 Students
D None of the above

1. minhkhoi

As there are multiple answers going with trial and error seems good in this case.

A

5.00 + 5.00 + 5.00 + 5.00 = 20.00

3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 31.5

20.00 + 31.5 = 51.5

B

5.00 + 5.00 + 5.00 + 5.00 = 20.00

3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 35.00

20.00 + 35.00 = 55.00

C

5.00 + 5.00 + 5.00 = 15.00

3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 31.5

15.00 + 31.5 =46.5

Knowing that for the first one all A,B, and C were wrong we can determine that D is the answer. But wait if I made one mistake and didn’t understand if $156.5 is equivalent to$156.50 that would mean A is correct.

Always recheck your answers and good luck,

Jon