Question

Laura collects nickels and dimes she has a total of 47 nickels and dimes she calculated the value of the coins and found out she has $4.05 how many nickels and dimes does laura

Answer 1

Number of dimes = 34

Number of nickels = 13

Explanation:

Total number of coins = 47

Coins are in the form of nickels and dimes.

Value of a nickel = 5 cents

Value of a dime = 10 cents

Total value of coins = $4.05 or 405 cents

To find:

Number of nickels and dimes?

Solution:

Let number of nickels =
`x`

Money value of nickels = 5
`x`

Let number of dimes =
`y`

Money value of dimes = 10
`y`

Total value of coins =
`5x+10y`

This value is given as equal as 405.

As per question statement, the equations can be written as:

`5x+10y = 405 ..... (1)\\x+ y = 47 ...... (2)`

Multiplying equation (2) with 5 and subtracting from equation (1):

`10y - 5y = 405 - 235 \\\Rightarrow 5y = 170\\\Rightarrow y = 34`

Number of dimes = 34

Number of nickels = 47 - 34 = 13