Jayden has $2.95 wroth of dimes and quarters he has 2 more quarter than dimes. Determine the number of dimes and the number of quarters that Jayden has

he has 7 dimes and 9 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 she has.

Let y represent the number of quarters that she has.

Jayden has 2 more quarters than dimes. This means that

y = x + 2

Jayden has $2.95 wroth of dimes and quarters . This means that

0.1x + 0.25y = 2.95 - - - - - - - - - - - 1

Substituting y = x + 2 into equation 1, it becomes

0.1x + 0.25(x + 2) = 2.95

0.1x + 0.25x + 0.5 = 2.95

0.35x = 2.95 - 0.5

0.35x = 2.45

x = 2.45/0.35

x = 7

y = x + 2 = 7 + 2

y = 9

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11