Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Please solve these coin problems:

  1) James bought 80 postage stamps for which he paid $18.40. Some were 1 cent stamps and some were 33 cent stamps.how many of each kind did he buy?

  2) a postal clerk sold 75 stamps for $19.90. Some were 20 cent and some were 34 cent stamps. How many of each kind did he sell?

Sagot :

luana
1)
Solving from system of equations:
x- amount of 1 cent stamps
y- amount of 33 cent stamps
[tex] \left \{ {{1*x+33*y=18,40} \atop {x+y=80}} \right.\\x=80-y\\0,01*(80-y)+0,33y=18,40\\0,8-0,01y+0,33y=18,40\\0,32y=18,40-0,8\\0,32y=17,60 /:0,32\\y=55\\x=80-55=25[/tex]
2)
x- amount of 20 cent stamops
y-amount of 34 cent stamps
From system of equations:
[tex] \left \{ {{0,2x+0,34y=19,90} \atop {x+y=75}} \right.\\x=75-y\\0,2(75-y)+0,34y=19,90\\ 15-0,2y+0 ,34y=19,90\\-0,2y+0,34y=19,90-15\\0,14y=4,90/:0,14\\ y=35\\x=75-35=40[/tex]
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.