Victor has a bag of dimes and quarters. He has a total of 36 coins worth $5.40.

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

Which system of equations would be used to find out how many dimes and quarters Victor has?


{x+y= 5.4
0.1x +0.25y =36

{x=36−y
x+y=5.4

{y=x+36
x+y=5.4

{x+y=36
0.1x+0.25y=5.4

Respuesta :

Answer:

{x+y=36

0.1x+0.25y=5.4

Step-by-step explanation:

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The system of equation that is used to find how many dimes and quarters Victor has is :

x + y = 36

0.1x + 0.25y = 5.40

x = number of dimes

y = number of quarters

Therefore,

Total number of coins will be

  • x + y = 36

1 dime = $0.1

1 quarters =$0.25

Therefore,

Total amount of dollars will be

  • 0.1x + 0.25y = 5.40

combine the equations:

x + y = 36

0.1x + 0.25y = 5.40

Therefore, the system of equation that is used to find how many dimes and quarters Victor has is as follows:

x + y = 36

0.1x + 0.25y = 5.40

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