Math
posted by Brandon .
Our teachers are having a toy drive. Mrs. A collected 10 more toys than Mr. B. Mrs. C collected twice as many toys as Mr. B. Mr. D collected 3 less than Mrs. C. Mrs. E collected 50 more than Mrs. A. Together they collected 487 toys in all and gave them to another teacher. How many toys did each teacher collect. I have to show how I did this with a full explanation.

Math 
The Prez
Let x equal the number of toys Mr. B. collected.
Then, x+10 will equal the number of toys Mrs. A collected, as she collected 10 more than B.
And, 2x will equal the number of toys Mrs. C collected, as she collected twice what B collected.
As a result of the above three items, we then know that 2x3 is the number of toys Mr. D collected, as he collected three less than Mrs. C.
Finally, x+10+50 = x+60 will equal the number of toys Mr. E collected, given that he collected 50 more than Mrs. A, who collected x+10.
Since they collected 487 toys total, we find out how many toys each teacher collected by the equation:
x + (x + 10) + (2x) + (2x  3) + (x+60) = 487.
=> 7x + 67 = 487
=> 7x = 427
=> x = 61 which is the number of toys Mr. B collected.
From this we can work backwards to find the rest of the teachers.
Hope that helps =) 
Math 
Brandon
Thank you.
Respond to this Question
Similar Questions

math
28 students collected 12,374 soda can tabs. If some of the students collected one more tab each than the rest of the students, how many collected 441 and how many collected 442 tabs? 
math
how do I do this? 28 students collected 12,374 soda can tabs. If some of the students collected one more tab than the rest of the students, how many collected 441 and how many collected 442? 
math
Mrs Munoz algebra class was collecting money for a party. The class decided that each student should give the same amount of money. They collected a total of $9.61. If everyone used 5 coins, how many nickels were collected? 
maths
four teenagers collected a total of £64 for charity. each teenager collected a whole number of pounds. the modal amount collected was £16. the range of the amounts collected was £2. work out how much each teenager collected? 
statistics
At a local high school students were randomly assigned to one of two math teachers Mrs smith and mrs jones. After the assignment, Mrs Smith had 30 students and mrs jones had 25 students. at the end of the year each class took the … 
Math problem
Mrs. Jones owns 4/7 of the stock in a small business and Mrs.Brown owns the rest. Mrs. smith agrees to give $21,000 in exchange for 1/3 of the stock. The $21,000is to be divided between Mrs. jones and Mrs. Brown so that all three will … 
math
A charity organization is collecting change to raise monay. They have collected twice as many dimes as quarters, 22 more nickels than dimes, and 3 times as many pennies as nickels. a) define a variable for the number of quarters collected. … 
math
A charity organization is collecting change to raise monay. They have collected twice as many dimes as quarters, 22 more nickels than dimes, and 3 times as many pennies as nickels. a) define a variable for the number of quarters collected. … 
MATH HELP
A charity organization is collecting change to raise monay. They have collected twice as many dimes as quarters, 22 more nickels than dimes, and 3 times as many pennies as nickels. a) define a variable for the number of quarters collected. … 
Math
Maya's school held an aluminum collection program in which they collected aluminum and brought it to be recycled. In the first week, Maya collected 4/20 lb of aluminum and her friend Abigail collected 7/8 lb. a. which girl collected …