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Lets say... 3 people bought tables and 2 people bought chairs....so half of those who bought chairs is 1 people..... So this 1 guy also bought a table.....so total 4 people are there....2 bought only table...1 bought only chair...and 1 bought both.....
*************|----2 chair---|
##########[both=1]#####
|____3 table_________|
So... total 4 people and 3 bought table.... Percentage of people bought table = 75%
*************|----2 chair---|
##########[both=1]#####
|____3 table_________|
So... total 4 people and 3 bought table.... Percentage of people bought table = 75%
04 Dec 2025, 04:43
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Among the customers who bought either tables or chairs at a certain furniture store, the ratio of customers who bought tables to customers who bought chairs is 3:2.
If half of those who bought chairs also bought tables, what percent of customers bought tables?
Among the customers who bought either tables or chairs at a certain furniture store, the number of customers who bought tables = x%/2 + y%
Among the customers who bought either tables or chairs at a certain furniture store, the ratio of customers who bought chairs = x%
(x%/2 + y%)/x% = 3/2
1/2 + y%/x% = 3/2
x% = y%
100% - 2x% = 0
x% = 50%
The percent of customers bought tables = 3x%/2 = 75%
IMO D
If half of those who bought chairs also bought tables, what percent of customers bought tables?
| Bought Tables | ~Bought Tables | Total | |
| Bought Chairs | x%/2 | x%/2 | x% |
| ~ Bought Chairs | y% | 100% - x% - y% = 0 | 100% - x% |
| Total | x%/2 + y% | 100% - x%/2 - y% | 100% |
Among the customers who bought either tables or chairs at a certain furniture store, the number of customers who bought tables = x%/2 + y%
Among the customers who bought either tables or chairs at a certain furniture store, the ratio of customers who bought chairs = x%
(x%/2 + y%)/x% = 3/2
1/2 + y%/x% = 3/2
x% = y%
| Bought Tables | ~Bought Tables | Total | |
| Bought Chairs | x%/2 | x%/2 | x% |
| ~ Bought Chairs | x% | 100% - 2x% = 0 | 100% - x% |
| Total | 3x%/2 | 100% - 3x%/2 | 100% |
100% - 2x% = 0
x% = 50%
The percent of customers bought tables = 3x%/2 = 75%
IMO D
