SOLUTION: The total amount of registration fees paid by participants at a conference was $12,400 each participant who registered on the day of the conference paid a $150 fee and each partici

Question 1195185: The total amount of registration fees paid by participants at a conference was $12,400 each participant who registered on the day of the conference paid a $150 fee and each participant who registered in advance paid a $125 fee. If 74 participants registered in advance, how many participants registered on the day of the conference?

Found 3 solutions by math_tutor2020, ikleyn, josgarithmetic:
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

x = number of people who registered on the day of the conference

150x = amount of money made from the people registering on the day of the conference, at $150 each

74 people registered in advance. They each paid $125. So in total this subgroup paid 74*125 = $9250

150x+9250 = total amount of money from both groups combined
150x+9250 = 12400

Solve for x
150x+9250 = 12400
150x+9250-9250 = 12400-9250
150x = 3150
150x/150 = 3150/150
x = 21

Answer: 21 people

Answer by ikleyn(52851)   (Show Source): You can put this solution on YOUR website!
.

It can be solved in one line

how many participants registered on the day of the conference = = 21. ANSWER The formula is OBVIOUS and self-explanatory.

It is how my teachers touch me to solve such problems in my 4-th grade,
without making any equations.

Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
a, how many advanced payers
d, how many on the day of conf
;

-------compute this.
RELATED QUESTIONS
A total of 1,200 teachers attended a mathematics conference. Early bird registration fee... (answered by MathLover1)
An academic conference holds its national conference annually. This year, the conference... (answered by stanbon)
John was working at the registration desk of a conference that was scheduled to begin at... (answered by ikleyn)
As part of boosting your health this time of pandemic, you ask your parent if you could... (answered by math_tutor2020)
a softball training academy charges student a monthly fee plus an initial registration... (answered by ankor@dixie-net.com)
Each semester, students enrolling at a community college must pay a tuition cost of $20... (answered by nerdybill)
The total cost Kirsten paid for registration and classes at the digital academy was... (answered by Boreal)
Entry fees for a race are $18 if registered before Oct.1 and $22 after. if a total of... (answered by Maths68)
150 people attended a conference. $4,200 was collected in registration fees. If members... (answered by unlockmath)