SOLUTION: According to a contract, a factory should make 48 tables each day. Instead, they made 2 additional tables each day until the last 3 days of the contract. For the last 3 days they

Question 267796: According to a contract, a factory should make 48 tables each day. Instead, they made 2 additional tables each day until the last 3 days of the contract. For the last 3 days they only had to make a total of 100 tables. How many tables was the factory contracted to make?
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Let the total number of tables to be made = x
According to a contract, a factory should make 48 tables each day.
The number of days = x/48 ..(1)
But the factory made 50 tables for [(x/48)-3] days and made 100 tables in the last three days.
Total number of tables is [(x/48)-3]*50+100 = x
[(x-144)/48]*50 = x-100
[x-144]*50 = 48(x-100)
50x-7200 = 48x-4800
50x-48x = 7200-4800
2x = 2400
x = 2400/2
x = 1200
RELATED QUESTIONS
Hi! A man and his daughter manufacture unfinished tables and chairs. Each table... (answered by solver91311)

A furniture manufacturer makes wooden tables and chairs. The production process involves... (answered by KMST)

A furniture shop refinishes tables. Employees use one of two methods to refinish each... (answered by jorel555)

A furniture shop refinishes tables. Employees use one of two methods to refinish each... (answered by jorel1380)

I am trying to answer a word problem, and I am sure there is a formula that should be... (answered by stanbon,mangeshpjoshi)

A furniture shop refinishes tables. Employees use two methods to refinish tables. Method... (answered by josgarithmetic)

I need help with the following problem: A man and his daughter manufacture unfinished... (answered by KMST)

A furniture shop refinishes tables. Employees use two methods to refinish tables.... (answered by ikleyn)

A carpentry shop makes dinner tables and coffee tables. Each week the shop must complete (answered by richwmiller)