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If Lauren has 2 more quarters than nickels and they have a combined value of 260 cents, how many of each coin does she have?

Respuesta :

Answer:

Lauren will have 7 nickels and 9 quarters.

Step-by-step explanation:

You can create an equation to figure out how many quarters and nickels Lauren has.

260 = 5x + 25(2+x)

x is the number of nickels.

Solve the equation:

260 = 5x + 50 + 25x

210 = 30x

7 = x

You can plug in the x-value to double check your answer:

260 = 5(7) + 25(2+7)

260 = 35 + 25(9)

260 = 35 + 225

260 = 260

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