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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

Respuesta :

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

[tex]\begin{gathered} 2x=36-8 \\ 2x=28 \\ \text{Dividing both sides by 2, we get} \\ x=\frac{28}{2}=14 \end{gathered}[/tex]

Hence,

Nickels: 14

Quarters: x+8 = 14+8 = 22

Thus, the correct answer is option A

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