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Diana's coin bank contains 500 nick-
els and dimes. The total value of the
coins is $40. How many dimes does
she have?

Respuesta :

Answer:

x = quantity of dimes

500 - x = quantity of nickels

.10x +.05(500-x)= 40

**get rid of the decimals by multiplying by 100**

10x + 25 -.05x) =40

10x +2500 - 5x = 4000

10x + 2500 - 2500 -5x = 4000 - 2500

10x -5x =1500

5x = 1500

5x/5 = 1500/5

x = 300 dimes

check -

.10(300) + .05(500-300) = 40

30 + .05(200) = 40

30 + 10 = 40

Step-by-step explanation:

hope this helps

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