Let's work through the problem step-by-step to find the number of 2 p coins in the bag.
1. Total number of coins:
There are a total of 640 coins in the bag.
2. Fraction of 1 p coins:
[tex]\(\frac{3}{8}\)[/tex] of the coins are 1 p coins.
3. Calculate the number of 1 p coins:
Given that [tex]\( \frac{3}{8} \)[/tex] of the total 640 coins are 1 p coins:
[tex]\[
\text{Number of 1 p coins} = \frac{3}{8} \times 640 = 240
\][/tex]
4. Number of 5 p coins:
It is given that the number of 5 p coins is the same as the number of 1 p coins:
[tex]\[
\text{Number of 5 p coins} = 240
\][/tex]
5. Calculate the remaining number of coins:
To find out how many 2 p coins there are, we subtract the number of 1 p and 5 p coins from the total number of coins:
[tex]\[
\text{Number of 2 p coins} = 640 - (\text{Number of 1 p coins} + \text{Number of 5 p coins})
\][/tex]
Substituting the values:
[tex]\[
\text{Number of 2 p coins} = 640 - (240 + 240) = 640 - 480 = 160
\][/tex]
Thus, the number of 2 p coins in the bag is:
[tex]\[
\boxed{160}
\][/tex]
