Alice has a total of 12 dimes and nickels. She has 2 more nickels than dimes. Which equation represents the given problem situation?

A. c + (c + 2) = 12, where c is the number of dimes

B. c + 2c = 12, where c is the number of nickels

C. c + (c + 2) = 12, where c is the number of nickels

D. c + 2c = 12, where c is the number of dimes

Respuesta :

Answer:  The correct option is

(A) [tex]c+(c+2)=12,[/tex] where c is the number of dimes.

Step-by-step explanation:  Given that Alice has a total of 12 dimes and nickels and she has 2 more nickels than dimes.

We are to select the correct equation that represents the given problem situation.

Let c represents the number of dimes. Then, the number of nickels will be (c + 2).

Since there are total 12 coins, so the required equation is given by

[tex]c+(c+2)=12.[/tex]

Thus, the required equation is

[tex]c+(c+2)=12,[/tex] where c is the number of dimes.

Option (A) is CORRECT.

The expression for the total number of dimes and nickels is  c+(c+2)=12. Option A is the correct answer.

How do you express the number of dimes and nickels?

Given that Alice has a total of 12 dimes and nickels.

Also given that she has 2 more nickels than dimes.

Let us consider that c is the number of dimes. Then the number of nickels is given as,

Number of nickels = c+2

The total sum of dimes and nickels is 12, then,

Number of dimes + Number of nickels = 12

c + (c+2) = 12

Hence the expression for the total number of dimes and nickels is  c+(c+2)=12. Option A is the correct answer.

To know more about the sum, follow the link given below.

https://brainly.com/question/24412452.