Question

Central school is hosting a "central has talent" show . They will award various prizes for the best 3 acts in the show . First place wins the most money , and each subsequent place after 1st wins $50 less than the previous place . Let x equal the amount of money first place wins . Which of the following expressions represents the total amount of prize money ? Select all that apply .
a. x + (x - 50) + (x - 50)
b. x + (x - 50) + (x - 100)
c. x - 150
d. x - 100
e. 3x - 100
f. 3x - 150

Answer 1

X = first place....and each place after that is 50 less
so 2nd place would be x - 50 and third place would be x - 100

so ur answers are : 
b. x + (x - 50) + (x - 100)
f. 3x - 150 ...u get this when u combine like terms

Answer 2

Answer: b. $x+(x-50)+(x-100)$

f. $3x-150$

Step-by-step explanation:

Given: First place wins the most money , and each subsequent place after 1st wins $50 less than the previous place .

Let x equal the amount of money first place wins .

Then the amount of money second place wins= $x-50$

The amount of money third place wins = $(x-50)-50=x-50-50=x-100$

Now, the total amount of prize money is given by:-

$x+(x-50)+(x-100)\\=x+x-50+x-100\\=x+x+x-50-100\\=3x-150$

Hence, the b and f are the right options.