A bookshop had 60 boxes of pencils. Each box contained 85 pencils. Half of the pencils were packed into packets of 25 pencils and the rest were packed into packets of 20.
How many packets of pencils were there altogether?
My answer is 229 am i right?
How many pencils were left over?
My answer is 10, am i right?
To find the total number of packets of pencils, we need to find the number of packets when the pencils are packed in packets of 25 and when they are packed in packets of 20, and then add them together.
First, let's find the number of packets when the pencils are packed in packets of 25:
Each box contains 85 pencils, and half of them (42.5 pencils) are packed into packets of 25.
To find the number of packets, we divide 42.5 by 25:
42.5 / 25 = 1.7
Since we can't have a fraction of a packet, we need to round up to the nearest whole number. Therefore, we have 2 packets when the pencils are packed in packets of 25.
Next, let's find the number of packets when the pencils are packed in packets of 20:
Considering half of the pencils (42.5 pencils) have already been used in packets of 25, the remaining number of pencils is 42.5 pencils.
To find the number of packets, we divide 42.5 by 20:
42.5 / 20 = 2.125
Again, we need to round up to the nearest whole number. Therefore, we have 3 packets when the pencils are packed in packets of 20.
Now, let's add the number of packets from packing pencils in packets of 25 and packets of 20:
2 + 3 = 5
So, there are 5 packets of pencils altogether.
As for the pencils left over, we need to find the total number of pencils and subtract the number of pencils used in packets.
The total number of pencils is given by the number of boxes multiplied by the number of pencils in each box:
60 boxes * 85 pencils = 5100 pencils
From the 5100 pencils, we have packed 2 packets of 25 pencils and 3 packets of 20 pencils.
For packets of 25 pencils: 2 packets * 25 pencils = 50 pencils
For packets of 20 pencils: 3 packets * 20 pencils = 60 pencils
To find the pencils left over, we subtract the pencils used in packets from the total number of pencils:
5100 pencils - (50 pencils + 60 pencils) = 4990 pencils left over
So, there are 4990 pencils left over.
Therefore, the correct answers are:
- There are 5 packets of pencils altogether.
- There are 4990 pencils left over.