Bella has $0.66 worth of
pennies and
nickels. she has 6 more
nickels than
pennies. determine the
number of pennies
and the number of nickels that
bella has.

Work Shown:

$0.66 = 66 cents

n = number of nickels

p = number of pennies

n = p+6 because she has 6 more nickels than pennies

5n = total amount of money in cents from just the nickels

1p = total amount of money in cents from just the pennies

5n+1p = total amount of money of all the coins (nickels+pennies)

5n+1p = 66 cents

5n+p = 66

5(n) + p = 66

5(p+6) + p = 66 ... replace every n with p+6

5p+30+p = 66

6p+30 = 66

6p = 66-30

6p = 36

p = 36/6

p = 6

Bella has 6 pennies.

n = p+6

n = 6+6

n = 12

Bella has 12 nickels.

Check:

6 pennies = 6*1 = 6 cents

12 nickels = 12*5 = 60 cents

(6 pennies)+(12 nickels) = (6 cents) + (60 cents) = 66 cents = $0.66

12 nickels is 6 more than the number of pennies (6).

Answers are confirmed.

answer is : muchas/tipicas

have a nice day!

~recklesschicken

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.