daneshayoung101
daneshayoung101 daneshayoung101
  • 08-05-2019
  • Mathematics
contestada

A wallet contains 34 notes, all of which are either $5 or $10 notes.
The total value of the money is $285. How many $10 notes are there?

Respuesta :

kaygun2020 kaygun2020
  • 08-05-2019

Answer:

There are 23 $10 notes and 11 $5 notes

Step-by-step explanation:

x= Number of $10 notes  

y= Number of $5 notes  

1 x + 1 y = 34 .............1  

Total value  

10 x + 5 y = 285 .............2  

Eliminate y  

multiply (1)by -5  

Multiply (2) by 1  

-5 x -5 y = -170  

10 x + 5 y = 285  

Add the two equations  

 

5 x = 115  

/ 5  

x = 23  

plug value of x in (1)  

1 x + 1 y = 34  

23 + y = 34  

y = 34-23  

y = 11  

y = 11  

x= 23 Number of $10 notes  

y= 11 Number of $5 notes

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