Aboy has 82 cents in pennies and quarters. he has 4 more pennies than quarters. how many of each type of coin does he have?

3 quarters and 7 pennies

Step-by-step explanation:

You can write equations, but you can also use the trial and error method.

Guess 1:

1 quarter = 25 cents

82 - 25 = 57

57 pennies = 57 cents

25 cents + 57 cents = 82 cents

57 - 1 = 56

He has 56 more pennies than quarters, so this is not the answer.

Guess 2:

2 quarters = 50 cents

82 - 50 = 32

32 pennies = 32 cents

50 cents + 32 cents = 82 cents

32 - 2 = 30

He has 30 more pennies than quarters, so this is not the answer.

Guess 2:

3 quarters = 75 cents

82 - 75 = 7

7 pennies = 7 cents

75 cents + 7 cents = 82 cents

7 - 3 = 4

He has 4 more pennies than quarters, so this is the answer.

3 quarters and 7 pennies

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.