Last tuesday evening, Aaron, the car wash owner, found he had 90% more quarters than dimes. If the combined value of Aaron's quarters and dimes is $69, how many times did he have

Respuesta :

Aaron the car wash owner had 228 quarters and 120 dimes.

Equation

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the number of quarters and y represent the number of dimes. Hence:

x = 90% of y + y

x = (0.9y) + y

x - 1.9y = 0   (1)

Also:

0.25x + 0.1y = 69   (2)

From both equations:

x = 228, y = 120

Aaron the car wash owner had 228 quarters and 120 dimes.

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