Jason has $2.25 worth of dimes and quarters he has twice as many dimes as quarters determine the number of dimes and the number of quarters that jason has

jason has 10 dimes and 5 quarters.

Step-by-step explanation:

The worth of a dime is 10 cents. Converting to dollars, it becomes

10/100 = $0.1

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

Let x represent the number of dimes that he has.

Let y represent the number of quarters that he has.

He has twice as many dimes as quarters. This means that

x = 2y

Jason has $2.25 worth of dimes and quarters. This means that

0.1x + 0.25y = 2.25 - - - - - - - - - - - 1

Substituting x = 2y into equation 1, it becomes

0.1 × 2y + 0.25y = 2.25

0.2y + 0.25y = 2.25

0.45y = 2.25

y = 2.25/0.45

y = 5

x = 2y = 2 × 5

x = 10