Question

James has pennies nickels and dimes in his bank he is has more than $1.60 and less than $2.00 in the bank there are 5 times as many pennies as dimes there is an equal number of nickels dimes what’s exact amount of money in his bank

Answer 1

James has pennies, nickles and dimes in his bank. he has more than $1.60 and less than $2.00 in the bank. there are 5 times as many pennies as dimes. there is an equal number of nickels and dimes. what is the exact amount of money in his bank?

Answer:

The exact amount of money in his bank is $ 1.8

Solution:

Let "p" be the number of pennies

Let "d" be the number of dimes

Let "n" be the number of nickels

Given that,

There are 5 times as many pennies as dimes

Number of pennies = 5 times the number of dimes

p = 5d ----------- eqn 1

There is an equal number of nickels and dimes

n = d -------- eqn 2

We know that,

value of 1 dime = 0.10 dollar

value of 1 nickel = 0.05 dollar

value of 1 penny = 0.01 dollar

The total value of coins is:

total value = d(0.10) + n(0.05) + p(0.01)

Substitute eqn 1 and eqn 2

total value = d(0.10) + d(0.05) + 5d(0.01)

total value = 0.2d

Given that he has more than $1.60 and less than $2.00 in the bank

Therefore, 0.2d must be greater than 1.60 and less than 2.00

Try for d = 8

total value = 0.2 x 8 = 1.6

But value must be greater than 1.6

Try for d = 9

total value = 0.2 x 9 = 1.8

Thus 1.8 is greater than 1.60 and less than 2.00

Therefore, the exact amount of money in his bank is $ 1.8