Question

2. Kelly has 36 coins in her purse. some are nickels and some are quarters. she has eight more quarters than nickels. if she has a total of $6.20, how many nickels and quarters does she have A) Nickels: 14 Quarters: 22B) Nickels: 22 Quarters: 14C) Nickels: 7 Quarters: 29D) Nickels: 13 Quarters: 13

Answer 1

Step1:

Let Kelly's number of nickels be represented with x.

And let Kelly's number of quarters be represented with x + 8

So,

x + x +8 = 36

Collecting like terms, we get

`\begin{gathered} 2x=36-8 \\ 2x=28 \\ \text{Dividing both sides by 2, we get} \\ x=(28)/(2)=14 \end{gathered}`

Hence,

Nickels: 14

Quarters: x+8 = 14+8 = 22

Thus, the correct answer is option A