The number of pennies you have is 187.5
The ratio of pennies to dime= 3:5 (Provided in the question)
The ratio of dimes to quarters=2:3 (Provided in the question)
Number of quarters present= 75 quarters (Provided in the question)
Let the number of dimes be represented by s
the ratio of dimes to quarters is 2:3
so 75:s=2:3
75/s = 2/3
Cross Multiplying
75 x 3 = 2 x s
s= 225/2 -(i)
Let the number of quarters be represented by r
ratio of pennies to dimes is 3:5
then 225/2r=3/5
Cross Multiplying
225 x 5 = 3 x 2r
225 x 5= 6r
225 x 5/ 6=r
75x5/2=r
r=375/2
r= 187.5
Then the number of pennies is 187.5
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