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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 :

Luanaidn
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]
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