Aiden ha $3 worth of dime and quarter. He ha 2 more dime than quarter. Determine the number of dime and the number of quarter that Aiden ha

Respuesta :

The number of dime and the number of quarters that Aiden have are 10 and 8 respectively.

How to find the number of dime and quarter?

Aiden ha $3 worth of dime and quarter. Aiden has 2 more dime than quarter. The number of dime and the number of quarter that Aiden has can be calculated as follows:

let

x =  number of quarter

y = number of dime

Therefore,

y = 2 + x

y - x = 2

0.1y + 0.25x = 3

Multiply equation(ii) by 10

y - x = 2

y + 2.5x = 30

subtract equation(i) from equation(ii)

3.5x = 28

x = 28 / 3.5

x = 8

Hence,

y = 2 + 8

y = 10

Therefore,

number of dime  = 10

number of quarters = 8

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