Rick and tom rented party halls. the celebrations party hall charged rick a rental fee of $65, including music, and $25 per guest. the feast party hall charged tom a rental fee of $40, $25 for music, and $25 per guest.

if each of them spent the same amount of money, how many guests attended rick and tom's party?

a.
five more guests attended rick's party than tom's party.
b.
fifteen more guests attended tom's party than rick's party.
c.
the same number of guests attended rick and tom's party.
d.
twenty-five more guests attended rick's party than tom's party.

  C. The same number of guests attended Rick and Tom's party.

Step-by-step explanation:

Let R and T represent the number of guests at Rick's and Tom's parties, respectively. The charges Rick and Tom paid are equal, so we have ...

  65 +25R = 40+25+25T

  25R = 25T . . . . . . . . . . . . subtract 65

  R = T . . . . . . . . . . . . . . . . . divide by 25

The number of guests at each party is the same.

table 1

step-by-step explanation:

1-16

2-32

4-64

8-128

all multiples of 16

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.