In 2006 an agency spent $200.00 to buy pencils at a cost of $1.00 a dozen. If the agency used 3/4 of these pencils in 2006 and used the same number of pencils in 2007, how many MORE pencils did it have to buy to have enough pencils all of 2007?

950

The answer is 2400.

Remember the agency used 3/4 of total in 2006 which was 1800. They used the same number of pencils in 2007. The total is 3600 for both years. Then there were 600 left each year which will give us the total of 1200.
So: 3600-1200=2400

To find out how many pencils the agency bought in 2006, we first need to calculate how many dozen pencils the agency purchased.

Since the cost per dozen pencils is $1.00, and they spent $200.00, we can divide the total cost by the cost per dozen:

$200.00 / $1.00/dozen = 200 dozen pencils.

To determine how many pencils were used in 2006, we need to find 3/4 of the total number of pencils purchased:

200 dozen pencils * 3/4 = 150 dozen pencils.

Since there are 12 pencils in a dozen, we can calculate the total number of pencils used in 2006:

150 dozen pencils * 12 = 1800 pencils.

Since the agency used the same number of pencils in 2007 as in 2006, they would need the same number of pencils, 1800 pencils, to last the entire year.

To find out how many more pencils they needed to buy for 2007, we subtract the number of pencils used in 2006 from the total needed for 2007:

1800 pencils - 1800 pencils = 0 more pencils needed.

Therefore, the agency did not need to buy any more pencils to have enough for all of 2007.

12 pencils at a rate of 1$

so for 200$ = 200*12= 2400pencils you get in 2006
and then it used 3/4
so 3/4(2400)=1800
remaining pencils for 2007 = 2400-1800= 600
same amount of pencils needed for 2007 so it requires 1200 more to have 1800 pencils like in 2006
so ans is 1200 pencils have to buy to have enough pencils