Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

A motel clerk counts his $10 bills and $20 bills at the end of the day. He finds that he has a total of 150 bills, and that those 150 bills have a total value of $2,000. How many $10 bills and $20 bills does the motel clerk have?

Translate the problem into 2 equations.


Let the x be the number of $10 bills and y be the number of $20 bills.

Sagot :

MrRoyal

Answer:

100 $10 bills and

50 $20 bills

Step-by-step explanation:

Given

[tex]x = \$10[/tex]

[tex]y = \$20[/tex]

[tex]Bills = 150[/tex]

[tex]Value = \$2000[/tex]

Required

Determine the number of $10 and $20 bills

[tex]Bills = 150[/tex].

This implies that:

[tex]x + y = 150[/tex]

[tex]Value = \$2000[/tex]

This implies that:

[tex]10x + 20y = 2000[/tex]

So, the equations are:

[tex]x + y = 150[/tex]

[tex]10x + 20y = 2000[/tex]

Make x the subject in the first equation

[tex]x = 150 -y[/tex]

Substitute 150 - y for x in the second

[tex]10(150 - y) + 20y= 2000[/tex]

[tex]1500 - 10y + 20y= 2000[/tex]

[tex]1500 + 10y = 2000[/tex]

[tex]10y = 2000-1500[/tex]

[tex]10y = 500[/tex]

[tex]y =50[/tex]

Recall that:

[tex]x = 150 -y[/tex]

[tex]x = 150 -50[/tex]

[tex]x = 100[/tex]

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.