Amanda has a total of two hundred four coins. She has three times as many dimes as nickels and one-half as many nickels and one-half as many nickels as pennies. How much money does she have?

Guest Jan 11, 2022

#1**0 **

d = 3n

n = 1/2 p or p = 2n

p

d + n + p = 204 all of this is givenin the question

3n + 1/2 p + p = 204 make some substitiutions form the above equations

3 (1/2 p) + 1/2 p + p = 204 now you can compute p = 68 <===== can you finish?

Guest Jan 11, 2022

#2**0 **

Let the number of pennies that Amanda has be 'p'.

It is given that she has one-half as many nickels as pennies

So, number of nickels = 1/2

It is given that she has three times as many dimes as pennies

So, number of dimes = 3 * 1/2 = 3p/2

Now, she has a total of 204 coins. So,

p + p/2 + 3p/2 = 204

=> (2p + p + 3p)/2 = 204

=> 6p = 2 * 204

=> p = 408/6 = 68

So, Amanda has 68 pennies

So, number of nickels = p/2 = 68/2 = 34

and number of dimes = 3p/2 = (3 * 68)/2 = 102

Now, 1 penny = $0.01

1 nickels = $0.05

and 1 dimes = $0.10

So, the total money that Amanda has

= $0.01 * 68 + $0.05 * 34 + $0.10 * 102

= $0.68 + $17 + $10.2

= $12.58

Answer: $12.58

Slimesewer Jan 14, 2022

#3**0 **

Given Amanda has total 204 coins

she has 3 times as many dimes as nickels

1/2 times as many nickels as pennies

we can write

d = 3n ---- (1)

n = 1/2 * p ; n = no. of nickels

__p = 2n__ ---- (2) d = " " dimes

p = " " pennies

Total no. of coins = 204

=> no. of nickels + no. of dimes + no. of pennies = 204

=> n + d + p = 204

=> n + 3n + 2n = 204 => 6n = 204 => n = 34

=> p = 68 and d = 102

She has total 34 * 5 + 102 * 10 + 68 * 1 = 1258 cents

Guest Jan 16, 2022