Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

14. A sum of $2700 is to be given in the form of 63 prizes. If the prize is of
either $100 or $25, find the number of prizes of each type.


Sagot :

Answer:

$100 prize = 15, $25 prize = 48

Step-by-step explanation:

Let,

$100 prize = x

$25 prize = y

=> x + y = 63 (1)

=> 100x + 25y = 2700 (2)

=> 100x/25 + 25y/25 = 2700/25

=> 4x + y = 108 (3)

On subtracting 2 and 3

=> 4x + y - (x + y) = 108 - 63

=> 4x + y - x - y = 45

=> 3x = 45

=> x = 15

=> 15 + y = 63

=> y = 63 - 15

=> y = 48

sqdancefan

Answer:

  • 15 at $100
  • 48 at $25

Step-by-step explanation:

Let x represent the number of higher-value ($100) prizes. Then (63-x) is the number of $25 prizes. The total value of the prizes is ...

  100x +25(63 -x) = 2700

  75x = 1125 . . . . . . . . . subtract 1575 and simplify

  x = 15 . . . . . . . . . divide by 75; number of $100 prizes

  63-x = 63 -15 = 48 . . . . number of $25 prizes

There are 15 $100 prizes and 48 $25 prizes.

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.