PLEASE I NEED THIS FAST there are 3 denominations of bills in a wallet: $1, $5, and $10. there are 5 fewer $5-bills than $1-bill

Question

2 years ago

14

s there are half as many $10-bills if there is $115 altogether, find the number of each type of bill in the wallet

1 answer:

Natalija [7] · Answer 1 · 2023-04-20T21:39:41+03:00

The number of $1, $5 and $10 are 49, 44 and 22 respectively.

<h3>How to use equation to find the number of bills?</h3>

There are 3 denominations of bills in a wallet: $1, $5, and $10.

There are 5 fewer $5-bills than $1-bills.

let

x = number of $1 bills

Hence,

number of $5 bills = x - 5

There are half as many $10-bills as $5-bills.

number of $10 bills = 1 / 2 (x - 5)

Therefore,

x + x - 5 + 1 / 2 (x - 5) = 115

2x - 5 + 1 / 2 x - 5 / 2 = 115

2x + 1 / 2 x - 5 - 5 / 2 = 115

5 / 2 x - 7.5 = 115

2.5x = 115 + 7.5

x = 122.5 / 2.5

x = 49

Number of $1 bills = 49

Number of $5 bills = 49 - 5 = 44

Number of $10 bills = 1 / 2 (49 - 5) = 22

#SPJ1