Question

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

Answer 1

Answer: 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