Question

Emily has 8 coins in her purse totaling 50 cents. The only kinds of coins she has are nickels and dimes. How many nickels does Emily have? How many dimes?.

Answer 1

Linear equation are the equation which has the power of the unknown variable is 1. The Emily have total 2 number of dimes coin and total 6 number of nickels coin.

Given information-

Emily has 8 coins in her purse totaling 50 cents

The only kinds of coins she has are nickels and dimes.

Nickel

A nickel is a coin which has the value equal to the 5 cents.

Dimes

A dimes is a coin which has the value equal to the 10 cents.

Suppose the number of nickel coin is x and the number of dimes coin is y.

As total coins are 8 . Thus,

$x+y=8$      

$x=8-y$                  ......equation 1

As the total value of the cents is 50 and nickel is equal to the 5 cents whereas the dimes is equal to the 10 cents. Thus,

$5x+10y=50$        

Put the value of the x from the equation 1 in the above equation.

$\begin{aligned}5(8-y)+10y &=50\\40-5y+10y &=50\\5y &=50-40\\y&=\dfrac{10}{5} \\y&=2\end$

Thus Emily have total 2 number of dimes coin.

Put this value of y in equation 1 we get,

$x=8-2\\x=6$

Thus  Emily have total 6 number of nickels coin.

Hence the Emily have total 2 number of dimes coin and total 6 number of nickels coin.

Learn more about the coin based problems here;

brainly.com/question/10482015

Answer 2

Answer:

6 nickels and 2 dimes!!!!

Step-by-step explanation: