The value of each small coin(p) is 2.
The value of each large coin(p+5) is 7.
What is an equation?
Two expressions joined by an equal sign form a mathematical statement known as an equation.
It is given that the value of each small coin is denoted as 'p' and large coins worth extra 5 points.
then, the value of each large coin will be ' p+5 '
she collected 102 coins out of which 100 coins are collected as small coins, So the rest 2 coins will be large coins.
∴ Total points value = (value of each small coin × small coins) + (value of large coins × large coins)
214 = [p × 100] + [(p+5) × 2]
214 = 100p + 2p + 10
214 - 10 = 102p
204 = 102p
p = 204/102 = 2.
Hence, Value of each small coin is 2 and value of each large coin is 7 i.e. ( 2+5).
Learn more about equations from the link given below,
https://brainly.com/question/22688504
#SPJ4