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

Answer:

Number of dimes = 34

Number of nickels = 13

Step-by-step 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