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
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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